Greatest Common Factor of 2/88, 89/43, 20/126, 922/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/88, 89/43, 20/126, 922/275

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 2/88,89/43,20/126,922/275

Given fractions are 2/88,89/43,20/126,922/275

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 2,89,20,922

Greatest Common Factor of Numerators i.e. GCF of 2,89,20,922 is 1 .

LCM of Denominators means LCM of 88,43,126,275 as per the given fractions.

LCM of 88,43,126,275 is 5959800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,89,20,922

GCF of Fractions 2/88,89/43,20/126,922/275 is 1/5959800

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

Greatest Common Factor of 2,89,20,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,89,20,922 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 2,89,20,922 . The biggest common factor number is the GCF number.
So the greatest common factor 2,89,20,922 is 1.

Lets's calculate LCM of 88,43,126,275

2 88, 43, 126, 275
11 44, 43, 63, 275
4, 43, 63, 25

∴ So the LCM of the given numbers is 2 x 11 x 4 x 43 x 63 x 25 = 5959800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5959800

Therefore, the GCF of Fractions 2/88,89/43,20/126,922/275 is 1/5959800

Least Common Multiple of 88,43,126,275 with GCF Formula

Least Common Multiple of 88,43,126,275 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 88,43,126,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,43,126,275) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(88,43,126,275) x common factors =1 x 22 = 22

LCM(88,43,126,275) = ( 88 × 43 × 126 × 275 ) / 22

LCM(88,43,126,275) = 131115600 / 22

LCM(88,43,126,275) = 5959800


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 2/88, 89/43, 20/126, 922/275

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 2/88, 89/43, 20/126, 922/275?

Answer: GCF of Numerators as per given numbers 2/88, 89/43, 20/126, 922/275 is

GCF of Numerators i.e. for 2,89,20,922 is 1

LCM of denominators i.e. for 88,43,126,275 is 5959800.

Thus, GCF of Fractions is 1/5959800.Finally, GCF of Fractions for 2/88, 89/43, 20/126, 922/275 is 1/5959800.