Greatest Common Factor of 5432/89, 2100/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5432/89, 2100/686

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 5432/89,2100/686

Given fractions are 5432/89,2100/686

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 5432,2100

Greatest Common Factor of Numerators i.e. GCF of 5432,2100 is 28 .

LCM of Denominators means LCM of 89,686 as per the given fractions.

LCM of 89,686 is 61054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5432,2100

GCF of Fractions 5432/89,2100/686 is 28/61054

2 5432, 2100
2 2716, 1050
7 1358, 525
194, 75

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 5432,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 5432,2100 By Matching Biggest Common Factor Method

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 5432,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 5432,2100 is 28.

Lets's calculate LCM of 89,686

Given numbers has no common factors except 1. So, there LCM is their product i.e 61054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/61054

Therefore, the GCF of Fractions 5432/89,2100/686 is 28/61054

Least Common Multiple of 89,686 with GCF Formula

Least Common Multiple of 89,686 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 89,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,686) = 1

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

GCF(89,686) x common factors =1 x 1 = 1

LCM(89,686) = ( 89 × 686 ) / 1

LCM(89,686) = 61054 / 1

LCM(89,686) = 61054


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 5432/89, 2100/686

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 5432/89, 2100/686?

Answer: GCF of Numerators as per given numbers 5432/89, 2100/686 is

GCF of Numerators i.e. for 5432,2100 is 28

LCM of denominators i.e. for 89,686 is 61054.

Thus, GCF of Fractions is 28/61054.Finally, GCF of Fractions for 5432/89, 2100/686 is 28/61054.