LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 2927/976, 3929/716

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 2927/976, 3929/716 i.e 1/174704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2927/976, 3929/716.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 2927/976,3929/716?

Given fractions are 2927/976,3929/716

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 2927/976,3929/716, numerators are 2927,3929

Denominators are 976,716

The GCF of 2927,3929 is 1 .

LCM of 976,716 is 174704.

The greatest common factor of 2927/976,3929/716 = [GCF of 2927,3929]/[LCM of 976,716]= 1/174704

Therefore, the GCF of 2927/976,3929/716 is 1/174704.

Greatest Common Factor of 2927,3929

To find the highest common factor of 2927,3929, we have to find the factors of both numbers and list the highest common factor.

The factors of 2927 are 1, 2927

The factors of 3929 are 1, 3929

The HCF of 2927,3929 is 1.

Lets's calculate GCF of 2927,3929

Greatest Common Factor (GCF) of 2927,3929 By Common Division

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

Greatest Common Factor of 2927,3929 By Matching Biggest Common Factor Method

Greatest Common Factor of 2927,3929 By Matching Biggest Common Factor Method

Now, list down the factors of 2927

:

1,2927

Now, list down the factors of 3929

:

1,3929

Greatest Common Factor

We found the factors 2927,3929 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,3929 is 1.

Lets's calculate LCM of 976,716

Lowest Common Multiple of 976,716 using Common Division

2 976, 716
2 488, 358
244, 179

∴ So the LCM of the given numbers is 2 x 2 x 244 x 179 = 174704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174704

Therefore, the GCF of Fractions 2927/976,3929/716 is 1/174704

Least Common Multiple of 976,716 with GCF Formula

Least Common Multiple of 976,716 with GCF Formula

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

We need to calculate greatest common factor of 976,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,716) = 4

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

GCF(976,716) x common factors =4 x 1 = 4

LCM(976,716) = ( 976 × 716 ) / 4

LCM(976,716) = 698816 / 4

LCM(976,716) = 174704


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2927/976, 3929/716

1. What is the HCF of 2927,3929?

The HCF of 2927,3929 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 2927/976, 3929/716?

Answer: GCF of Numerators as per given numbers 2927/976, 3929/716 is

GCF of Numerators i.e. for 2927,3929 is 1

LCM of denominators i.e. for 976,716 is 174704.

Thus, GCF of Fractions is 1/174704.Finally, GCF of Fractions for 2927/976, 3929/716 is 1/174704.