Greatest Common Factor of 1630/25, 7118/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1630/25, 7118/840

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 1630/25,7118/840

Given fractions are 1630/25,7118/840

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 1630,7118

Greatest Common Factor of Numerators i.e. GCF of 1630,7118 is 2 .

LCM of Denominators means LCM of 25,840 as per the given fractions.

LCM of 25,840 is 4200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1630,7118

GCF of Fractions 1630/25,7118/840 is 2/4200

2 1630, 7118
815, 3559

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1630,7118 By Matching Biggest Common Factor Method

Greatest Common Factor of 1630,7118 By Matching Biggest Common Factor Method

Factors of 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1,2,5,10,163,326,815,1630

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1,2,3559,7118

Greatest Common Factor

We found the factors 1630,7118 . The biggest common factor number is the GCF number.
So the greatest common factor 1630,7118 is 2.

Lets's calculate LCM of 25,840

5 25, 840
5, 168

∴ So the LCM of the given numbers is 5 x 5 x 168 = 4200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4200

Therefore, the GCF of Fractions 1630/25,7118/840 is 2/4200

Least Common Multiple of 25,840 with GCF Formula

Least Common Multiple of 25,840 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 25,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,840) = 5

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

GCF(25,840) x common factors =5 x 1 = 5

LCM(25,840) = ( 25 × 840 ) / 5

LCM(25,840) = 21000 / 5

LCM(25,840) = 4200


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 1630/25, 7118/840

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 1630/25, 7118/840?

Answer: GCF of Numerators as per given numbers 1630/25, 7118/840 is

GCF of Numerators i.e. for 1630,7118 is 2

LCM of denominators i.e. for 25,840 is 4200.

Thus, GCF of Fractions is 2/4200.Finally, GCF of Fractions for 1630/25, 7118/840 is 2/4200.