Greatest Common Factor of 7782/220, 1908/7020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7782/220, 1908/7020

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 7782/220,1908/7020

Given fractions are 7782/220,1908/7020

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 7782,1908

Greatest Common Factor of Numerators i.e. GCF of 7782,1908 is 6 .

LCM of Denominators means LCM of 220,7020 as per the given fractions.

LCM of 220,7020 is 77220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7782,1908

GCF of Fractions 7782/220,1908/7020 is 6/77220

2 7782, 1908
3 3891, 954
1297, 318

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

Greatest Common Factor of 7782,1908 By Matching Biggest Common Factor Method

Greatest Common Factor of 7782,1908 By Matching Biggest Common Factor Method

Factors of 7782

List of positive integer factors of 7782 that divides 7782 without a remainder.

1,2,3,6,1297,2594,3891,7782

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908

Greatest Common Factor

We found the factors 7782,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 7782,1908 is 6.

Lets's calculate LCM of 220,7020

2 220, 7020
2 110, 3510
5 55, 1755
11, 351

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 351 = 77220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/77220

Therefore, the GCF of Fractions 7782/220,1908/7020 is 6/77220

Least Common Multiple of 220,7020 with GCF Formula

Least Common Multiple of 220,7020 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 220,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,7020) = 20

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

GCF(220,7020) x common factors =20 x 1 = 20

LCM(220,7020) = ( 220 × 7020 ) / 20

LCM(220,7020) = 1544400 / 20

LCM(220,7020) = 77220


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 7782/220, 1908/7020

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 7782/220, 1908/7020?

Answer: GCF of Numerators as per given numbers 7782/220, 1908/7020 is

GCF of Numerators i.e. for 7782,1908 is 6

LCM of denominators i.e. for 220,7020 is 77220.

Thus, GCF of Fractions is 6/77220.Finally, GCF of Fractions for 7782/220, 1908/7020 is 6/77220.