Greatest Common Factor of 140/700, 6530/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/700, 6530/326

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 140/700,6530/326

Given fractions are 140/700,6530/326

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 140,6530

Greatest Common Factor of Numerators i.e. GCF of 140,6530 is 10 .

LCM of Denominators means LCM of 700,326 as per the given fractions.

LCM of 700,326 is 114100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,6530

GCF of Fractions 140/700,6530/326 is 10/114100

2 140, 6530
5 70, 3265
14, 653

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 140,6530 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,6530 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Greatest Common Factor

We found the factors 140,6530 . The biggest common factor number is the GCF number.
So the greatest common factor 140,6530 is 10.

Lets's calculate LCM of 700,326

2 700, 326
350, 163

∴ So the LCM of the given numbers is 2 x 350 x 163 = 114100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/114100

Therefore, the GCF of Fractions 140/700,6530/326 is 10/114100

Least Common Multiple of 700,326 with GCF Formula

Least Common Multiple of 700,326 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 700,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,326) = 2

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

GCF(700,326) x common factors =2 x 1 = 2

LCM(700,326) = ( 700 × 326 ) / 2

LCM(700,326) = 228200 / 2

LCM(700,326) = 114100


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 140/700, 6530/326

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 140/700, 6530/326?

Answer: GCF of Numerators as per given numbers 140/700, 6530/326 is

GCF of Numerators i.e. for 140,6530 is 10

LCM of denominators i.e. for 700,326 is 114100.

Thus, GCF of Fractions is 10/114100.Finally, GCF of Fractions for 140/700, 6530/326 is 10/114100.