How to Find GCF of 2657/936, 3113/8671?

GCF of 2657/936, 3113/8671

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 2657/936, 3113/8671 i.e 1/624312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2657/936, 3113/8671.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2657/936,3113/8671?

Given fractions are 2657/936,3113/8671

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 2657/936,3113/8671, numerators are 2657,3113

Denominators are 936,8671

The GCF of 2657,3113 is 1 .

LCM of 936,8671 is 624312.

The greatest common factor of 2657/936,3113/8671 = [GCF of 2657,3113]/[LCM of 936,8671]= 1/624312

Therefore, the GCF of 2657/936,3113/8671 is 1/624312.

Greatest Common Factor of 2657,3113

To find the highest common factor of 2657,3113, we have to find the factors of both numbers and list the highest common factor.

The factors of 2657 are 1, 2657

The factors of 3113 are 1, 11, 283, 3113

The HCF of 2657,3113 is 1.

Lets's calculate GCF of 2657,3113

Greatest Common Factor (GCF) of 2657,3113 By Common Division

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

Greatest Common Factor of 2657,3113 By Matching Biggest Common Factor Method

Now, list down the factors of 2657

1,2657

Now, list down the factors of 3113

1,11,283,3113

Greatest Common Factor

We found the factors 2657,3113 . The biggest common factor number is the GCF number.
So the greatest common factor 2657,3113 is 1.

Lets's calculate LCM of 936,8671

Lowest Common Multiple of 936,8671 using Common Division

13	936, 8671
	72, 667

∴ So the LCM of the given numbers is 13 x 72 x 667 = 624312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624312

Therefore, the GCF of Fractions 2657/936,3113/8671 is 1/624312

Least Common Multiple of 936,8671 with GCF Formula

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

We need to calculate greatest common factor of 936,8671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,8671) = 13

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

GCF(936,8671) x common factors =13 x 1 = 13

LCM(936,8671) = ( 936 × 8671 ) / 13

LCM(936,8671) = 8116056 / 13

LCM(936,8671) = 624312

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FAQs on GCF of Fractions of 2657/936, 3113/8671

1. What is the HCF of 2657,3113?

The HCF of 2657,3113 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 2657/936, 3113/8671?

Answer: GCF of Numerators as per given numbers 2657/936, 3113/8671 is

GCF of Numerators i.e. for 2657,3113 is 1

LCM of denominators i.e. for 936,8671 is 624312.

Thus, GCF of Fractions is 1/624312.Finally, GCF of Fractions for 2657/936, 3113/8671 is 1/624312.