Greatest Common Factor of 621/93, 149/49, 542/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 621/93, 149/49, 542/400

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 621/93,149/49,542/400

Given fractions are 621/93,149/49,542/400

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 621,149,542

Greatest Common Factor of Numerators i.e. GCF of 621,149,542 is 1 .

LCM of Denominators means LCM of 93,49,400 as per the given fractions.

LCM of 93,49,400 is 1822800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 621,149,542

GCF of Fractions 621/93,149/49,542/400 is 1/1822800

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

Greatest Common Factor of 621,149,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,149,542 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 621,149,542 . The biggest common factor number is the GCF number.
So the greatest common factor 621,149,542 is 1.


Lets's calculate LCM of 93,49,400

Given numbers has no common factors except 1. So, there LCM is their product i.e 1822800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1822800

Therefore, the GCF of Fractions 621/93,149/49,542/400 is 1/1822800

Least Common Multiple of 93,49,400 with GCF Formula

Least Common Multiple of 93,49,400 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 93,49,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,49,400) = 1

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

GCF(93,49,400) x common factors =1 x 1 = 1

LCM(93,49,400) = ( 93 × 49 × 400 ) / 1

LCM(93,49,400) = 1822800 / 1

LCM(93,49,400) = 1822800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 621/93, 149/49, 542/400

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 621/93, 149/49, 542/400?

Answer: GCF of Numerators as per given numbers 621/93, 149/49, 542/400 is

GCF of Numerators i.e. for 621,149,542 is 1

LCM of denominators i.e. for 93,49,400 is 1822800.

Thus, GCF of Fractions is 1/1822800.Finally, GCF of Fractions for 621/93, 149/49, 542/400 is 1/1822800.