Greatest Common Factor of 253/78, 227/7970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/78, 227/7970

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 253/78,227/7970

Given fractions are 253/78,227/7970

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 253,227

Greatest Common Factor of Numerators i.e. GCF of 253,227 is 1 .

LCM of Denominators means LCM of 78,7970 as per the given fractions.

LCM of 78,7970 is 310830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,227

GCF of Fractions 253/78,227/7970 is 1/310830

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

Greatest Common Factor of 253,227 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,227 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Greatest Common Factor

We found the factors 253,227 . The biggest common factor number is the GCF number.
So the greatest common factor 253,227 is 1.

Lets's calculate LCM of 78,7970

2 78, 7970
39, 3985

∴ So the LCM of the given numbers is 2 x 39 x 3985 = 310830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310830

Therefore, the GCF of Fractions 253/78,227/7970 is 1/310830

Least Common Multiple of 78,7970 with GCF Formula

Least Common Multiple of 78,7970 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 78,7970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,7970) = 2

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

GCF(78,7970) x common factors =2 x 1 = 2

LCM(78,7970) = ( 78 × 7970 ) / 2

LCM(78,7970) = 621660 / 2

LCM(78,7970) = 310830


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 253/78, 227/7970

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 253/78, 227/7970?

Answer: GCF of Numerators as per given numbers 253/78, 227/7970 is

GCF of Numerators i.e. for 253,227 is 1

LCM of denominators i.e. for 78,7970 is 310830.

Thus, GCF of Fractions is 1/310830.Finally, GCF of Fractions for 253/78, 227/7970 is 1/310830.