Greatest Common Factor of 622/53, 658/20, 699/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 622/53, 658/20, 699/742

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 622/53,658/20,699/742

Given fractions are 622/53,658/20,699/742

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 622,658,699

Greatest Common Factor of Numerators i.e. GCF of 622,658,699 is 1 .

LCM of Denominators means LCM of 53,20,742 as per the given fractions.

LCM of 53,20,742 is 7420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 622,658,699

GCF of Fractions 622/53,658/20,699/742 is 1/7420

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

Greatest Common Factor of 622,658,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,658,699 By Matching Biggest Common Factor Method

Factors of 622

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

1,2,311,622

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 622,658,699 . The biggest common factor number is the GCF number.
So the greatest common factor 622,658,699 is 1.

Lets's calculate LCM of 53,20,742

2 53, 20, 742
53 53, 10, 371
1, 10, 7

∴ So the LCM of the given numbers is 2 x 53 x 1 x 10 x 7 = 7420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7420

Therefore, the GCF of Fractions 622/53,658/20,699/742 is 1/7420

Least Common Multiple of 53,20,742 with GCF Formula

Least Common Multiple of 53,20,742 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 53,20,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,20,742) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(53,20,742) x common factors =1 x 106 = 106

LCM(53,20,742) = ( 53 × 20 × 742 ) / 106

LCM(53,20,742) = 786520 / 106

LCM(53,20,742) = 7420


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 622/53, 658/20, 699/742

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 622/53, 658/20, 699/742?

Answer: GCF of Numerators as per given numbers 622/53, 658/20, 699/742 is

GCF of Numerators i.e. for 622,658,699 is 1

LCM of denominators i.e. for 53,20,742 is 7420.

Thus, GCF of Fractions is 1/7420.Finally, GCF of Fractions for 622/53, 658/20, 699/742 is 1/7420.