Greatest Common Factor of 5420/89, 9178/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5420/89, 9178/787

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 5420/89,9178/787

Given fractions are 5420/89,9178/787

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 5420,9178

Greatest Common Factor of Numerators i.e. GCF of 5420,9178 is 2 .

LCM of Denominators means LCM of 89,787 as per the given fractions.

LCM of 89,787 is 70043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5420,9178

GCF of Fractions 5420/89,9178/787 is 2/70043

2 5420, 9178
2710, 4589

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

Greatest Common Factor of 5420,9178 By Matching Biggest Common Factor Method

Greatest Common Factor of 5420,9178 By Matching Biggest Common Factor Method

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Factors of 9178

List of positive integer factors of 9178 that divides 9178 without a remainder.

1,2,13,26,353,706,4589,9178

Greatest Common Factor

We found the factors 5420,9178 . The biggest common factor number is the GCF number.
So the greatest common factor 5420,9178 is 2.

Lets's calculate LCM of 89,787

Given numbers has no common factors except 1. So, there LCM is their product i.e 70043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70043

Therefore, the GCF of Fractions 5420/89,9178/787 is 2/70043

Least Common Multiple of 89,787 with GCF Formula

Least Common Multiple of 89,787 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 89,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,787) = 1

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

GCF(89,787) x common factors =1 x 1 = 1

LCM(89,787) = ( 89 × 787 ) / 1

LCM(89,787) = 70043 / 1

LCM(89,787) = 70043


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 5420/89, 9178/787

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 5420/89, 9178/787?

Answer: GCF of Numerators as per given numbers 5420/89, 9178/787 is

GCF of Numerators i.e. for 5420,9178 is 2

LCM of denominators i.e. for 89,787 is 70043.

Thus, GCF of Fractions is 2/70043.Finally, GCF of Fractions for 5420/89, 9178/787 is 2/70043.