Greatest Common Factor of 6775/975, 7024/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6775/975, 7024/164

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 6775/975,7024/164

Given fractions are 6775/975,7024/164

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 6775,7024

Greatest Common Factor of Numerators i.e. GCF of 6775,7024 is 1 .

LCM of Denominators means LCM of 975,164 as per the given fractions.

LCM of 975,164 is 159900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6775,7024

GCF of Fractions 6775/975,7024/164 is 1/159900

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

Greatest Common Factor of 6775,7024 By Matching Biggest Common Factor Method

Greatest Common Factor of 6775,7024 By Matching Biggest Common Factor Method

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1,2,4,8,16,439,878,1756,3512,7024

Greatest Common Factor

We found the factors 6775,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 6775,7024 is 1.

Lets's calculate LCM of 975,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 159900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159900

Therefore, the GCF of Fractions 6775/975,7024/164 is 1/159900

Least Common Multiple of 975,164 with GCF Formula

Least Common Multiple of 975,164 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 975,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,164) = 1

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

GCF(975,164) x common factors =1 x 1 = 1

LCM(975,164) = ( 975 × 164 ) / 1

LCM(975,164) = 159900 / 1

LCM(975,164) = 159900


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 6775/975, 7024/164

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 6775/975, 7024/164?

Answer: GCF of Numerators as per given numbers 6775/975, 7024/164 is

GCF of Numerators i.e. for 6775,7024 is 1

LCM of denominators i.e. for 975,164 is 159900.

Thus, GCF of Fractions is 1/159900.Finally, GCF of Fractions for 6775/975, 7024/164 is 1/159900.