find largest whole number that will divide 24 and 30 exactly
Answers
Answer:
6 is the answer dear and please mark me as Brainliest
Given
✭ We are given the numbers 24 & 30
✭ They are divided by a number with 0 remainder
To Find
◈ The number by which we divide them?
Solution
Concept
Here we actually are asked to find HCF of the two numbers. We can make sure because the number to be divided will be lesser than the dividend if it had to have its remainder zero. If we find LCM then it would be more than the dividend
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So here I'll show you two methods you may use the one that you feel easy
Method 1
First find the factors of the two numbers,
➳ 24 = 2 × 2 × 2 × 3 = 2³×3
➳ 30 = 2 × 5 × 3
HCF is the product of the least power of the common factors
➳ HCF = 2 × 3
∴ HCF(24,30) = 6
Method 2
We shall here use the Euclid's Division Algorithm, that is,
➝ A = B(Q)+R
30 > 24
➝ 30 = 24(1) + 6
➝ 24 = 6(4)+0
∴ HCF(24,30) = 6
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