Greatest Common Factor of 7140/753, 1062/8793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7140/753, 1062/8793

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 7140/753,1062/8793

Given fractions are 7140/753,1062/8793

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 7140,1062

Greatest Common Factor of Numerators i.e. GCF of 7140,1062 is 6 .

LCM of Denominators means LCM of 753,8793 as per the given fractions.

LCM of 753,8793 is 2207043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7140,1062

GCF of Fractions 7140/753,1062/8793 is 6/2207043

2 7140, 1062
3 3570, 531
1190, 177

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7140,1062 By Matching Biggest Common Factor Method

Greatest Common Factor of 7140,1062 By Matching Biggest Common Factor Method

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Greatest Common Factor

We found the factors 7140,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 7140,1062 is 6.

Lets's calculate LCM of 753,8793

3 753, 8793
251, 2931

∴ So the LCM of the given numbers is 3 x 251 x 2931 = 2207043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2207043

Therefore, the GCF of Fractions 7140/753,1062/8793 is 6/2207043

Least Common Multiple of 753,8793 with GCF Formula

Least Common Multiple of 753,8793 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 753,8793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,8793) = 3

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

GCF(753,8793) x common factors =3 x 1 = 3

LCM(753,8793) = ( 753 × 8793 ) / 3

LCM(753,8793) = 6621129 / 3

LCM(753,8793) = 2207043


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 7140/753, 1062/8793

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 7140/753, 1062/8793?

Answer: GCF of Numerators as per given numbers 7140/753, 1062/8793 is

GCF of Numerators i.e. for 7140,1062 is 6

LCM of denominators i.e. for 753,8793 is 2207043.

Thus, GCF of Fractions is 6/2207043.Finally, GCF of Fractions for 7140/753, 1062/8793 is 6/2207043.