Greatest Common Factor of 321/757, 622/113, 253/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/757, 622/113, 253/858

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 321/757,622/113,253/858

Given fractions are 321/757,622/113,253/858

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 321,622,253

Greatest Common Factor of Numerators i.e. GCF of 321,622,253 is 1 .

LCM of Denominators means LCM of 757,113,858 as per the given fractions.

LCM of 757,113,858 is 73394178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,622,253

GCF of Fractions 321/757,622/113,253/858 is 1/73394178

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

Greatest Common Factor of 321,622,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,622,253 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 253

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

1,11,23,253

Greatest Common Factor

We found the factors 321,622,253 . The biggest common factor number is the GCF number.
So the greatest common factor 321,622,253 is 1.

Lets's calculate LCM of 757,113,858

Given numbers has no common factors except 1. So, there LCM is their product i.e 73394178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73394178

Therefore, the GCF of Fractions 321/757,622/113,253/858 is 1/73394178

Least Common Multiple of 757,113,858 with GCF Formula

Least Common Multiple of 757,113,858 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 757,113,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,113,858) = 1

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

GCF(757,113,858) x common factors =1 x 1 = 1

LCM(757,113,858) = ( 757 × 113 × 858 ) / 1

LCM(757,113,858) = 73394178 / 1

LCM(757,113,858) = 73394178


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 321/757, 622/113, 253/858

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 321/757, 622/113, 253/858?

Answer: GCF of Numerators as per given numbers 321/757, 622/113, 253/858 is

GCF of Numerators i.e. for 321,622,253 is 1

LCM of denominators i.e. for 757,113,858 is 73394178.

Thus, GCF of Fractions is 1/73394178.Finally, GCF of Fractions for 321/757, 622/113, 253/858 is 1/73394178.