Greatest Common Factor of 75/400, 895/430, 568/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/400, 895/430, 568/549

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 75/400,895/430,568/549

Given fractions are 75/400,895/430,568/549

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 75,895,568

Greatest Common Factor of Numerators i.e. GCF of 75,895,568 is 1 .

LCM of Denominators means LCM of 400,430,549 as per the given fractions.

LCM of 400,430,549 is 9442800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,895,568

GCF of Fractions 75/400,895/430,568/549 is 1/9442800

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

Greatest Common Factor of 75,895,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,895,568 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 75,895,568 . The biggest common factor number is the GCF number.
So the greatest common factor 75,895,568 is 1.

Lets's calculate LCM of 400,430,549

2 400, 430, 549
5 200, 215, 549
40, 43, 549

∴ So the LCM of the given numbers is 2 x 5 x 40 x 43 x 549 = 9442800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9442800

Therefore, the GCF of Fractions 75/400,895/430,568/549 is 1/9442800

Least Common Multiple of 400,430,549 with GCF Formula

Least Common Multiple of 400,430,549 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 400,430,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,430,549) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(400,430,549) x common factors =1 x 10 = 10

LCM(400,430,549) = ( 400 × 430 × 549 ) / 10

LCM(400,430,549) = 94428000 / 10

LCM(400,430,549) = 9442800


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 75/400, 895/430, 568/549

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 75/400, 895/430, 568/549?

Answer: GCF of Numerators as per given numbers 75/400, 895/430, 568/549 is

GCF of Numerators i.e. for 75,895,568 is 1

LCM of denominators i.e. for 400,430,549 is 9442800.

Thus, GCF of Fractions is 1/9442800.Finally, GCF of Fractions for 75/400, 895/430, 568/549 is 1/9442800.