How to Find GCF of 871/636, 5875/7032?

GCF of 871/636, 5875/7032

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 871/636, 5875/7032 i.e 1/372696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/636, 5875/7032.

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 871/636,5875/7032?

Given fractions are 871/636,5875/7032

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 871/636,5875/7032, numerators are 871,5875

Denominators are 636,7032

The GCF of 871,5875 is 1 .

LCM of 636,7032 is 372696.

The greatest common factor of 871/636,5875/7032 = [GCF of 871,5875]/[LCM of 636,7032]= 1/372696

Therefore, the GCF of 871/636,5875/7032 is 1/372696.

Greatest Common Factor of 871,5875

To find the highest common factor of 871,5875, we have to find the factors of both numbers and list the highest common factor.

The factors of 871 are 1, 13, 67, 871

The factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875

The HCF of 871,5875 is 1.

Lets's calculate GCF of 871,5875

Greatest Common Factor (GCF) of 871,5875 By Common Division

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

Greatest Common Factor of 871,5875 By Matching Biggest Common Factor Method

Now, list down the factors of 871

1,13,67,871

Now, list down the factors of 5875

1,5,25,47,125,235,1175,5875

Greatest Common Factor

We found the factors 871,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 871,5875 is 1.

Lets's calculate LCM of 636,7032

Lowest Common Multiple of 636,7032 using Common Division

2	636, 7032
2	318, 3516
3	159, 1758
	53, 586

∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 586 = 372696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372696

Therefore, the GCF of Fractions 871/636,5875/7032 is 1/372696

Least Common Multiple of 636,7032 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 636,7032 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,7032) = 12

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

GCF(636,7032) x common factors =12 x 1 = 12

LCM(636,7032) = ( 636 × 7032 ) / 12

LCM(636,7032) = 4472352 / 12

LCM(636,7032) = 372696

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FAQs on GCF of Fractions of 871/636, 5875/7032

1. What is the HCF of 871,5875?

The HCF of 871,5875 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 871/636, 5875/7032?

Answer: GCF of Numerators as per given numbers 871/636, 5875/7032 is

GCF of Numerators i.e. for 871,5875 is 1

LCM of denominators i.e. for 636,7032 is 372696.

Thus, GCF of Fractions is 1/372696.Finally, GCF of Fractions for 871/636, 5875/7032 is 1/372696.