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GCF of 832/497, 310/521

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 832/497, 310/521 i.e 2/258937 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/497, 310/521.

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 832/497,310/521?

Given fractions are 832/497,310/521

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 832/497,310/521, numerators are 832,310

Denominators are 497,521

The GCF of 832,310 is 2 .

LCM of 497,521 is 258937.

The greatest common factor of 832/497,310/521 = [GCF of 832,310]/[LCM of 497,521]= 2/258937

Therefore, the GCF of 832/497,310/521 is 2/258937.

Greatest Common Factor of 832,310

To find the highest common factor of 832,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 832,310 is 2.

Lets's calculate GCF of 832,310

Greatest Common Factor (GCF) of 832,310 By Common Division

2 832, 310
416, 155

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 832,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,310 By Matching Biggest Common Factor Method

Now, list down the factors of 832

:

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 832,310 . The biggest common factor number is the GCF number.
So the greatest common factor 832,310 is 2.

Lets's calculate LCM of 497,521

Lowest Common Multiple of 497,521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 258937

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/258937

Therefore, the GCF of Fractions 832/497,310/521 is 2/258937

Least Common Multiple of 497,521 with GCF Formula

Least Common Multiple of 497,521 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 497,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,521) = 1

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

GCF(497,521) x common factors =1 x 1 = 1

LCM(497,521) = ( 497 × 521 ) / 1

LCM(497,521) = 258937 / 1

LCM(497,521) = 258937


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FAQs on GCF of Fractions of 832/497, 310/521

1. What is the HCF of 832,310?

The HCF of 832,310 is 2

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 832/497, 310/521?

Answer: GCF of Numerators as per given numbers 832/497, 310/521 is

GCF of Numerators i.e. for 832,310 is 2

LCM of denominators i.e. for 497,521 is 258937.

Thus, GCF of Fractions is 2/258937.Finally, GCF of Fractions for 832/497, 310/521 is 2/258937.