Greatest Common Factor of 8499/156, 7148/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8499/156, 7148/652

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 8499/156,7148/652

Given fractions are 8499/156,7148/652

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 8499,7148

Greatest Common Factor of Numerators i.e. GCF of 8499,7148 is 1 .

LCM of Denominators means LCM of 156,652 as per the given fractions.

LCM of 156,652 is 25428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8499,7148

GCF of Fractions 8499/156,7148/652 is 1/25428

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

Greatest Common Factor of 8499,7148 By Matching Biggest Common Factor Method

Greatest Common Factor of 8499,7148 By Matching Biggest Common Factor Method

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Greatest Common Factor

We found the factors 8499,7148 . The biggest common factor number is the GCF number.
So the greatest common factor 8499,7148 is 1.

Lets's calculate LCM of 156,652

2 156, 652
2 78, 326
39, 163

∴ So the LCM of the given numbers is 2 x 2 x 39 x 163 = 25428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25428

Therefore, the GCF of Fractions 8499/156,7148/652 is 1/25428

Least Common Multiple of 156,652 with GCF Formula

Least Common Multiple of 156,652 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 156,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,652) = 4

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

GCF(156,652) x common factors =4 x 1 = 4

LCM(156,652) = ( 156 × 652 ) / 4

LCM(156,652) = 101712 / 4

LCM(156,652) = 25428


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 8499/156, 7148/652

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 8499/156, 7148/652?

Answer: GCF of Numerators as per given numbers 8499/156, 7148/652 is

GCF of Numerators i.e. for 8499,7148 is 1

LCM of denominators i.e. for 156,652 is 25428.

Thus, GCF of Fractions is 1/25428.Finally, GCF of Fractions for 8499/156, 7148/652 is 1/25428.