How to Find GCF of 976/101, 731/714?

GCF of 976/101, 731/714

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 976/101, 731/714 i.e 1/72114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/101, 731/714.

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 976/101,731/714?

Given fractions are 976/101,731/714

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 976/101,731/714, numerators are 976,731

Denominators are 101,714

The GCF of 976,731 is 1 .

LCM of 101,714 is 72114.

The greatest common factor of 976/101,731/714 = [GCF of 976,731]/[LCM of 101,714]= 1/72114

Therefore, the GCF of 976/101,731/714 is 1/72114.

Greatest Common Factor of 976,731

To find the highest common factor of 976,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 731 are 1, 17, 43, 731

The HCF of 976,731 is 1.

Lets's calculate GCF of 976,731

Greatest Common Factor (GCF) of 976,731 By Common Division

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

Greatest Common Factor of 976,731 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 731

1,17,43,731

Greatest Common Factor

We found the factors 976,731 . The biggest common factor number is the GCF number.
So the greatest common factor 976,731 is 1.

Lets's calculate LCM of 101,714

Lowest Common Multiple of 101,714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72114

Therefore, the GCF of Fractions 976/101,731/714 is 1/72114

Least Common Multiple of 101,714 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 101,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,714) = 1

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

GCF(101,714) x common factors =1 x 1 = 1

LCM(101,714) = ( 101 × 714 ) / 1

LCM(101,714) = 72114 / 1

LCM(101,714) = 72114

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 976/101, 731/714

1. What is the HCF of 976,731?

The HCF of 976,731 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 976/101, 731/714?

Answer: GCF of Numerators as per given numbers 976/101, 731/714 is

GCF of Numerators i.e. for 976,731 is 1

LCM of denominators i.e. for 101,714 is 72114.

Thus, GCF of Fractions is 1/72114.Finally, GCF of Fractions for 976/101, 731/714 is 1/72114.