Word Problems for GCF and LCM
Problem 1:
Ravi scored in three different subjects: History, Geography, and Art with scores of 45, 60, and 75 respectively.
(a) Find the prime factorization of the sum of his scores.
(b) Find the greatest number that divides all his scores exactly.
(c) Determine the smallest number which is exactly divisible by all his scores.
Problem 2:
Amit’s scores in three subjects are: 55, 70, and 85.
(a) Find the prime factorization of the sum of his scores.
(b) Find the greatest number that divides all his scores exactly.
(c) Determine the smallest number which is exactly divisible by all his scores.
Problem 3:
Nina received marks in three subjects: 28, 36, and 42.
(a) Find the prime factorization of the sum of her marks.
(b) Find the greatest number that divides all her marks exactly.
(c) Determine the smallest number which is exactly divisible by all her marks.
Problem 4:
Sam’s marks in three subjects are: 33, 48, and 54.
(a) Find the prime factorization of the sum of his marks.
(b) Find the greatest number that divides all his marks exactly.
(c) Determine the smallest number which is exactly divisible by all his marks.
Problem 5:
Pooja scored 39, 51, and 57 in her subjects.
(a) Find the prime factorization of the sum of her scores.
(b) Find the greatest number that divides all her scores exactly.
(c) Determine the smallest number which is exactly divisible by all her scores.
Note for students:
- Prime Factorization: Write the number as a product of its prime factors.
- Greatest Common Divisor (GCD): Find the largest number that divides all given numbers without leaving a remainder.
- Least Common Multiple (LCM): Find the smallest number that is exactly divisible by all given numbers.