Greatest Common Factor of 5385/622, 7621/1468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5385/622, 7621/1468

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 5385/622,7621/1468

Given fractions are 5385/622,7621/1468

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 5385,7621

Greatest Common Factor of Numerators i.e. GCF of 5385,7621 is 1 .

LCM of Denominators means LCM of 622,1468 as per the given fractions.

LCM of 622,1468 is 456548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5385,7621

GCF of Fractions 5385/622,7621/1468 is 1/456548

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

Greatest Common Factor of 5385,7621 By Matching Biggest Common Factor Method

Greatest Common Factor of 5385,7621 By Matching Biggest Common Factor Method

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Factors of 7621

List of positive integer factors of 7621 that divides 7621 without a remainder.

1,7621

Greatest Common Factor

We found the factors 5385,7621 . The biggest common factor number is the GCF number.
So the greatest common factor 5385,7621 is 1.

Lets's calculate LCM of 622,1468

2 622, 1468
311, 734

∴ So the LCM of the given numbers is 2 x 311 x 734 = 456548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456548

Therefore, the GCF of Fractions 5385/622,7621/1468 is 1/456548

Least Common Multiple of 622,1468 with GCF Formula

Least Common Multiple of 622,1468 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 622,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,1468) = 2

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

GCF(622,1468) x common factors =2 x 1 = 2

LCM(622,1468) = ( 622 × 1468 ) / 2

LCM(622,1468) = 913096 / 2

LCM(622,1468) = 456548


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 5385/622, 7621/1468

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 5385/622, 7621/1468?

Answer: GCF of Numerators as per given numbers 5385/622, 7621/1468 is

GCF of Numerators i.e. for 5385,7621 is 1

LCM of denominators i.e. for 622,1468 is 456548.

Thus, GCF of Fractions is 1/456548.Finally, GCF of Fractions for 5385/622, 7621/1468 is 1/456548.