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GCF of 596/77, 310/2539

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 596/77, 310/2539 i.e 2/195503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/77, 310/2539.

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 596/77,310/2539?

Given fractions are 596/77,310/2539

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 596/77,310/2539, numerators are 596,310

Denominators are 77,2539

The GCF of 596,310 is 2 .

LCM of 77,2539 is 195503.

The greatest common factor of 596/77,310/2539 = [GCF of 596,310]/[LCM of 77,2539]= 2/195503

Therefore, the GCF of 596/77,310/2539 is 2/195503.

Greatest Common Factor of 596,310

To find the highest common factor of 596,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 596 are 1, 2, 4, 149, 298, 596

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

The HCF of 596,310 is 2.

Lets's calculate GCF of 596,310

Greatest Common Factor (GCF) of 596,310 By Common Division

2 596, 310
298, 155

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

Greatest Common Factor of 596,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,310 By Matching Biggest Common Factor Method

Now, list down the factors of 596

:

1,2,4,149,298,596

Now, list down the factors of 310

:

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

Greatest Common Factor

We found the factors 596,310 . The biggest common factor number is the GCF number.
So the greatest common factor 596,310 is 2.

Lets's calculate LCM of 77,2539

Lowest Common Multiple of 77,2539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 195503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195503

Therefore, the GCF of Fractions 596/77,310/2539 is 2/195503

Least Common Multiple of 77,2539 with GCF Formula

Least Common Multiple of 77,2539 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 77,2539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,2539) = 1

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

GCF(77,2539) x common factors =1 x 1 = 1

LCM(77,2539) = ( 77 × 2539 ) / 1

LCM(77,2539) = 195503 / 1

LCM(77,2539) = 195503


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FAQs on GCF of Fractions of 596/77, 310/2539

1. What is the HCF of 596,310?

The HCF of 596,310 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 596/77, 310/2539?

Answer: GCF of Numerators as per given numbers 596/77, 310/2539 is

GCF of Numerators i.e. for 596,310 is 2

LCM of denominators i.e. for 77,2539 is 195503.

Thus, GCF of Fractions is 2/195503.Finally, GCF of Fractions for 596/77, 310/2539 is 2/195503.