Greatest Common Factor of 53/401, 178/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/401, 178/975

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 53/401,178/975

Given fractions are 53/401,178/975

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 53,178

Greatest Common Factor of Numerators i.e. GCF of 53,178 is 1 .

LCM of Denominators means LCM of 401,975 as per the given fractions.

LCM of 401,975 is 390975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,178

GCF of Fractions 53/401,178/975 is 1/390975

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

Greatest Common Factor of 53,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,178 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 53,178 . The biggest common factor number is the GCF number.
So the greatest common factor 53,178 is 1.

Lets's calculate LCM of 401,975

Given numbers has no common factors except 1. So, there LCM is their product i.e 390975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390975

Therefore, the GCF of Fractions 53/401,178/975 is 1/390975

Least Common Multiple of 401,975 with GCF Formula

Least Common Multiple of 401,975 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 401,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,975) = 1

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

GCF(401,975) x common factors =1 x 1 = 1

LCM(401,975) = ( 401 × 975 ) / 1

LCM(401,975) = 390975 / 1

LCM(401,975) = 390975


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 53/401, 178/975

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 53/401, 178/975?

Answer: GCF of Numerators as per given numbers 53/401, 178/975 is

GCF of Numerators i.e. for 53,178 is 1

LCM of denominators i.e. for 401,975 is 390975.

Thus, GCF of Fractions is 1/390975.Finally, GCF of Fractions for 53/401, 178/975 is 1/390975.