How to Find GCF of 4127/971, 7926/1432?

GCF of 4127/971, 7926/1432

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 4127/971, 7926/1432 i.e 1/1390472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4127/971, 7926/1432.

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 4127/971,7926/1432?

Given fractions are 4127/971,7926/1432

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 4127/971,7926/1432, numerators are 4127,7926

Denominators are 971,1432

The GCF of 4127,7926 is 1 .

LCM of 971,1432 is 1390472.

The greatest common factor of 4127/971,7926/1432 = [GCF of 4127,7926]/[LCM of 971,1432]= 1/1390472

Therefore, the GCF of 4127/971,7926/1432 is 1/1390472.

Greatest Common Factor of 4127,7926

To find the highest common factor of 4127,7926, we have to find the factors of both numbers and list the highest common factor.

The factors of 4127 are 1, 4127

The factors of 7926 are 1, 2, 3, 6, 1321, 2642, 3963, 7926

The HCF of 4127,7926 is 1.

Lets's calculate GCF of 4127,7926

Greatest Common Factor (GCF) of 4127,7926 By Common Division

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

Greatest Common Factor of 4127,7926 By Matching Biggest Common Factor Method

Now, list down the factors of 4127

1,4127

Now, list down the factors of 7926

1,2,3,6,1321,2642,3963,7926

Greatest Common Factor

We found the factors 4127,7926 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,7926 is 1.

Lets's calculate LCM of 971,1432

Lowest Common Multiple of 971,1432 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1390472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1390472

Therefore, the GCF of Fractions 4127/971,7926/1432 is 1/1390472

Least Common Multiple of 971,1432 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 971,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,1432) = 1

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

GCF(971,1432) x common factors =1 x 1 = 1

LCM(971,1432) = ( 971 × 1432 ) / 1

LCM(971,1432) = 1390472 / 1

LCM(971,1432) = 1390472

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FAQs on GCF of Fractions of 4127/971, 7926/1432

1. What is the HCF of 4127,7926?

The HCF of 4127,7926 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 4127/971, 7926/1432?

Answer: GCF of Numerators as per given numbers 4127/971, 7926/1432 is

GCF of Numerators i.e. for 4127,7926 is 1

LCM of denominators i.e. for 971,1432 is 1390472.

Thus, GCF of Fractions is 1/1390472.Finally, GCF of Fractions for 4127/971, 7926/1432 is 1/1390472.