Greatest Common Factor of 675/400, 706/270, 192/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/400, 706/270, 192/751

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 675/400,706/270,192/751

Given fractions are 675/400,706/270,192/751

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 675,706,192

Greatest Common Factor of Numerators i.e. GCF of 675,706,192 is 1 .

LCM of Denominators means LCM of 400,270,751 as per the given fractions.

LCM of 400,270,751 is 8110800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,706,192

GCF of Fractions 675/400,706/270,192/751 is 1/8110800

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

Greatest Common Factor of 675,706,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,706,192 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 675,706,192 . The biggest common factor number is the GCF number.
So the greatest common factor 675,706,192 is 1.

Lets's calculate LCM of 400,270,751

2 400, 270, 751
5 200, 135, 751
40, 27, 751

∴ So the LCM of the given numbers is 2 x 5 x 40 x 27 x 751 = 8110800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8110800

Therefore, the GCF of Fractions 675/400,706/270,192/751 is 1/8110800

Least Common Multiple of 400,270,751 with GCF Formula

Least Common Multiple of 400,270,751 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 400,270,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,270,751) = 1

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

GCF(400,270,751) x common factors =1 x 10 = 10

LCM(400,270,751) = ( 400 × 270 × 751 ) / 10

LCM(400,270,751) = 81108000 / 10

LCM(400,270,751) = 8110800


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 675/400, 706/270, 192/751

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 675/400, 706/270, 192/751?

Answer: GCF of Numerators as per given numbers 675/400, 706/270, 192/751 is

GCF of Numerators i.e. for 675,706,192 is 1

LCM of denominators i.e. for 400,270,751 is 8110800.

Thus, GCF of Fractions is 1/8110800.Finally, GCF of Fractions for 675/400, 706/270, 192/751 is 1/8110800.