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GCF of 632/410, 653/728

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 632/410, 653/728 i.e 1/149240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/410, 653/728.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 632/410,653/728?

Given fractions are 632/410,653/728

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 632/410,653/728, numerators are 632,653

Denominators are 410,728

The GCF of 632,653 is 1 .

LCM of 410,728 is 149240.

The greatest common factor of 632/410,653/728 = [GCF of 632,653]/[LCM of 410,728]= 1/149240

Therefore, the GCF of 632/410,653/728 is 1/149240.

Greatest Common Factor of 632,653

To find the highest common factor of 632,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632

The factors of 653 are 1, 653

The HCF of 632,653 is 1.

Lets's calculate GCF of 632,653

Greatest Common Factor (GCF) of 632,653 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 632,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,653 By Matching Biggest Common Factor Method

Now, list down the factors of 632

:

1,2,4,8,79,158,316,632

Now, list down the factors of 653

:

1,653

Greatest Common Factor

We found the factors 632,653 . The biggest common factor number is the GCF number.
So the greatest common factor 632,653 is 1.

Lets's calculate LCM of 410,728

Lowest Common Multiple of 410,728 using Common Division

2 410, 728
205, 364

∴ So the LCM of the given numbers is 2 x 205 x 364 = 149240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149240

Therefore, the GCF of Fractions 632/410,653/728 is 1/149240

Least Common Multiple of 410,728 with GCF Formula

Least Common Multiple of 410,728 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 410,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,728) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(410,728) x common factors =2 x 1 = 2

LCM(410,728) = ( 410 × 728 ) / 2

LCM(410,728) = 298480 / 2

LCM(410,728) = 149240


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FAQs on GCF of Fractions of 632/410, 653/728

1. What is the HCF of 632,653?

The HCF of 632,653 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 632/410, 653/728?

Answer: GCF of Numerators as per given numbers 632/410, 653/728 is

GCF of Numerators i.e. for 632,653 is 1

LCM of denominators i.e. for 410,728 is 149240.

Thus, GCF of Fractions is 1/149240.Finally, GCF of Fractions for 632/410, 653/728 is 1/149240.