Greatest Common Factor of 7852/89, 5400/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7852/89, 5400/719

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 7852/89,5400/719

Given fractions are 7852/89,5400/719

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 7852,5400

Greatest Common Factor of Numerators i.e. GCF of 7852,5400 is 4 .

LCM of Denominators means LCM of 89,719 as per the given fractions.

LCM of 89,719 is 63991 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7852,5400

GCF of Fractions 7852/89,5400/719 is 4/63991

2 7852, 5400
2 3926, 2700
1963, 1350

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7852,5400 By Matching Biggest Common Factor Method

Greatest Common Factor of 7852,5400 By Matching Biggest Common Factor Method

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Factors of 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400

Greatest Common Factor

We found the factors 7852,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 7852,5400 is 4.

Lets's calculate LCM of 89,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 63991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/63991

Therefore, the GCF of Fractions 7852/89,5400/719 is 4/63991

Least Common Multiple of 89,719 with GCF Formula

Least Common Multiple of 89,719 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 89,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,719) = 1

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

GCF(89,719) x common factors =1 x 1 = 1

LCM(89,719) = ( 89 × 719 ) / 1

LCM(89,719) = 63991 / 1

LCM(89,719) = 63991


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 7852/89, 5400/719

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 7852/89, 5400/719?

Answer: GCF of Numerators as per given numbers 7852/89, 5400/719 is

GCF of Numerators i.e. for 7852,5400 is 4

LCM of denominators i.e. for 89,719 is 63991.

Thus, GCF of Fractions is 4/63991.Finally, GCF of Fractions for 7852/89, 5400/719 is 4/63991.