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GCF of 502/82, 743/702

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 502/82, 743/702 i.e 1/28782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/82, 743/702.

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 502/82,743/702?

Given fractions are 502/82,743/702

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 502/82,743/702, numerators are 502,743

Denominators are 82,702

The GCF of 502,743 is 1 .

LCM of 82,702 is 28782.

The greatest common factor of 502/82,743/702 = [GCF of 502,743]/[LCM of 82,702]= 1/28782

Therefore, the GCF of 502/82,743/702 is 1/28782.

Greatest Common Factor of 502,743

To find the highest common factor of 502,743, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

The factors of 743 are 1, 743

The HCF of 502,743 is 1.

Lets's calculate GCF of 502,743

Greatest Common Factor (GCF) of 502,743 By Common Division

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

Greatest Common Factor of 502,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,743 By Matching Biggest Common Factor Method

Now, list down the factors of 502

:

1,2,251,502

Now, list down the factors of 743

:

1,743

Greatest Common Factor

We found the factors 502,743 . The biggest common factor number is the GCF number.
So the greatest common factor 502,743 is 1.

Lets's calculate LCM of 82,702

Lowest Common Multiple of 82,702 using Common Division

2 82, 702
41, 351

∴ So the LCM of the given numbers is 2 x 41 x 351 = 28782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28782

Therefore, the GCF of Fractions 502/82,743/702 is 1/28782

Least Common Multiple of 82,702 with GCF Formula

Least Common Multiple of 82,702 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 82,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,702) = 2

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

GCF(82,702) x common factors =2 x 1 = 2

LCM(82,702) = ( 82 × 702 ) / 2

LCM(82,702) = 57564 / 2

LCM(82,702) = 28782


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FAQs on GCF of Fractions of 502/82, 743/702

1. What is the HCF of 502,743?

The HCF of 502,743 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 502/82, 743/702?

Answer: GCF of Numerators as per given numbers 502/82, 743/702 is

GCF of Numerators i.e. for 502,743 is 1

LCM of denominators i.e. for 82,702 is 28782.

Thus, GCF of Fractions is 1/28782.Finally, GCF of Fractions for 502/82, 743/702 is 1/28782.