How to Find GCF of 5134/681, 1037/5876?

GCF of 5134/681, 1037/5876

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 5134/681, 1037/5876 i.e 17/4001556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/681, 1037/5876.

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 5134/681,1037/5876?

Given fractions are 5134/681,1037/5876

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 5134/681,1037/5876, numerators are 5134,1037

Denominators are 681,5876

The GCF of 5134,1037 is 17 .

LCM of 681,5876 is 4001556.

The greatest common factor of 5134/681,1037/5876 = [GCF of 5134,1037]/[LCM of 681,5876]= 17/4001556

Therefore, the GCF of 5134/681,1037/5876 is 17/4001556.

Greatest Common Factor of 5134,1037

To find the highest common factor of 5134,1037, we have to find the factors of both numbers and list the highest common factor.

The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134

The factors of 1037 are 1, 17, 61, 1037

The HCF of 5134,1037 is 17.

Lets's calculate GCF of 5134,1037

Greatest Common Factor (GCF) of 5134,1037 By Common Division

17	5134, 1037
	302, 61

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 5134,1037 By Matching Biggest Common Factor Method

Now, list down the factors of 5134

1,2,17,34,151,302,2567,5134

Now, list down the factors of 1037

1,17,61,1037

Greatest Common Factor

We found the factors 5134,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,1037 is 17.

Lets's calculate LCM of 681,5876

Lowest Common Multiple of 681,5876 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4001556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/4001556

Therefore, the GCF of Fractions 5134/681,1037/5876 is 17/4001556

Least Common Multiple of 681,5876 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 681,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,5876) = 1

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

GCF(681,5876) x common factors =1 x 1 = 1

LCM(681,5876) = ( 681 × 5876 ) / 1

LCM(681,5876) = 4001556 / 1

LCM(681,5876) = 4001556

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FAQs on GCF of Fractions of 5134/681, 1037/5876

1. What is the HCF of 5134,1037?

The HCF of 5134,1037 is 17

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 5134/681, 1037/5876?

Answer: GCF of Numerators as per given numbers 5134/681, 1037/5876 is

GCF of Numerators i.e. for 5134,1037 is 17

LCM of denominators i.e. for 681,5876 is 4001556.

Thus, GCF of Fractions is 17/4001556.Finally, GCF of Fractions for 5134/681, 1037/5876 is 17/4001556.