Greatest Common Factor of 8140/846, 1147/1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8140/846, 1147/1264

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 8140/846,1147/1264

Given fractions are 8140/846,1147/1264

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 8140,1147

Greatest Common Factor of Numerators i.e. GCF of 8140,1147 is 37 .

LCM of Denominators means LCM of 846,1264 as per the given fractions.

LCM of 846,1264 is 534672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8140,1147

GCF of Fractions 8140/846,1147/1264 is 37/534672

37 8140, 1147
220, 31

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 8140,1147 By Matching Biggest Common Factor Method

Greatest Common Factor of 8140,1147 By Matching Biggest Common Factor Method

Factors of 8140

List of positive integer factors of 8140 that divides 8140 without a remainder.

1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1,31,37,1147

Greatest Common Factor

We found the factors 8140,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 8140,1147 is 37.

Lets's calculate LCM of 846,1264

2 846, 1264
423, 632

∴ So the LCM of the given numbers is 2 x 423 x 632 = 534672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/534672

Therefore, the GCF of Fractions 8140/846,1147/1264 is 37/534672

Least Common Multiple of 846,1264 with GCF Formula

Least Common Multiple of 846,1264 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 846,1264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,1264) = 2

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

GCF(846,1264) x common factors =2 x 1 = 2

LCM(846,1264) = ( 846 × 1264 ) / 2

LCM(846,1264) = 1069344 / 2

LCM(846,1264) = 534672


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 8140/846, 1147/1264

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 8140/846, 1147/1264?

Answer: GCF of Numerators as per given numbers 8140/846, 1147/1264 is

GCF of Numerators i.e. for 8140,1147 is 37

LCM of denominators i.e. for 846,1264 is 534672.

Thus, GCF of Fractions is 37/534672.Finally, GCF of Fractions for 8140/846, 1147/1264 is 37/534672.