Greatest Common Factor of 38/512, 420/610, 185/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/512, 420/610, 185/676

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 38/512,420/610,185/676

Given fractions are 38/512,420/610,185/676

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 38,420,185

Greatest Common Factor of Numerators i.e. GCF of 38,420,185 is 1 .

LCM of Denominators means LCM of 512,610,676 as per the given fractions.

LCM of 512,610,676 is 26391040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,420,185

GCF of Fractions 38/512,420/610,185/676 is 1/26391040

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

Greatest Common Factor of 38,420,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,420,185 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 38,420,185 . The biggest common factor number is the GCF number.
So the greatest common factor 38,420,185 is 1.

Lets's calculate LCM of 512,610,676

2 512, 610, 676
2 256, 305, 338
128, 305, 169

∴ So the LCM of the given numbers is 2 x 2 x 128 x 305 x 169 = 26391040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26391040

Therefore, the GCF of Fractions 38/512,420/610,185/676 is 1/26391040

Least Common Multiple of 512,610,676 with GCF Formula

Least Common Multiple of 512,610,676 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 512,610,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,610,676) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(512,610,676) x common factors =2 x 4 = 8

LCM(512,610,676) = ( 512 × 610 × 676 ) / 8

LCM(512,610,676) = 211128320 / 8

LCM(512,610,676) = 26391040


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 38/512, 420/610, 185/676

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 38/512, 420/610, 185/676?

Answer: GCF of Numerators as per given numbers 38/512, 420/610, 185/676 is

GCF of Numerators i.e. for 38,420,185 is 1

LCM of denominators i.e. for 512,610,676 is 26391040.

Thus, GCF of Fractions is 1/26391040.Finally, GCF of Fractions for 38/512, 420/610, 185/676 is 1/26391040.