Greatest Common Factor of 7924/951, 4284/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7924/951, 4284/682

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7924/951,4284/682

Given fractions are 7924/951,4284/682

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7924,4284

Greatest Common Factor of Numerators i.e. GCF of 7924,4284 is 28 .

LCM of Denominators means LCM of 951,682 as per the given fractions.

LCM of 951,682 is 648582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7924,4284

GCF of Fractions 7924/951,4284/682 is 28/648582

2 7924, 4284
2 3962, 2142
7 1981, 1071
283, 153

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 7924,4284 By Matching Biggest Common Factor Method

Greatest Common Factor of 7924,4284 By Matching Biggest Common Factor Method

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Factors of 4284

List of positive integer factors of 4284 that divides 4284 without a remainder.

1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284

Greatest Common Factor

We found the factors 7924,4284 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,4284 is 28.

Lets's calculate LCM of 951,682

Given numbers has no common factors except 1. So, there LCM is their product i.e 648582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/648582

Therefore, the GCF of Fractions 7924/951,4284/682 is 28/648582

Least Common Multiple of 951,682 with GCF Formula

Least Common Multiple of 951,682 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 951,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,682) = 1

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

GCF(951,682) x common factors =1 x 1 = 1

LCM(951,682) = ( 951 × 682 ) / 1

LCM(951,682) = 648582 / 1

LCM(951,682) = 648582


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7924/951, 4284/682

1. 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.

2. What is the GCF of Fractions for 7924/951, 4284/682?

Answer: GCF of Numerators as per given numbers 7924/951, 4284/682 is

GCF of Numerators i.e. for 7924,4284 is 28

LCM of denominators i.e. for 951,682 is 648582.

Thus, GCF of Fractions is 28/648582.Finally, GCF of Fractions for 7924/951, 4284/682 is 28/648582.