Greatest Common Factor of 53/37, 206/74, 465/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/37, 206/74, 465/620

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 53/37,206/74,465/620

Given fractions are 53/37,206/74,465/620

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 53,206,465

Greatest Common Factor of Numerators i.e. GCF of 53,206,465 is 1 .

LCM of Denominators means LCM of 37,74,620 as per the given fractions.

LCM of 37,74,620 is 22940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,206,465

GCF of Fractions 53/37,206/74,465/620 is 1/22940

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

Greatest Common Factor of 53,206,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,206,465 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 53,206,465 . The biggest common factor number is the GCF number.
So the greatest common factor 53,206,465 is 1.

Lets's calculate LCM of 37,74,620

2 37, 74, 620
37 37, 37, 310
1, 1, 310

∴ So the LCM of the given numbers is 2 x 37 x 1 x 1 x 310 = 22940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22940

Therefore, the GCF of Fractions 53/37,206/74,465/620 is 1/22940

Least Common Multiple of 37,74,620 with GCF Formula

Least Common Multiple of 37,74,620 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 37,74,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,74,620) = 1

common factors(in case of two or more numbers have common factors) = 74

GCF(37,74,620) x common factors =1 x 74 = 74

LCM(37,74,620) = ( 37 × 74 × 620 ) / 74

LCM(37,74,620) = 1697560 / 74

LCM(37,74,620) = 22940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 53/37, 206/74, 465/620

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 53/37, 206/74, 465/620?

Answer: GCF of Numerators as per given numbers 53/37, 206/74, 465/620 is

GCF of Numerators i.e. for 53,206,465 is 1

LCM of denominators i.e. for 37,74,620 is 22940.

Thus, GCF of Fractions is 1/22940.Finally, GCF of Fractions for 53/37, 206/74, 465/620 is 1/22940.