Greatest Common Factor of 381/60, 690/7380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/60, 690/7380

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 381/60,690/7380

Given fractions are 381/60,690/7380

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 381,690

Greatest Common Factor of Numerators i.e. GCF of 381,690 is 3 .

LCM of Denominators means LCM of 60,7380 as per the given fractions.

LCM of 60,7380 is 7380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,690

GCF of Fractions 381/60,690/7380 is 3/7380

3 381, 690
127, 230

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 381,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,690 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 381,690 . The biggest common factor number is the GCF number.
So the greatest common factor 381,690 is 3.

Lets's calculate LCM of 60,7380

2 60, 7380
2 30, 3690
3 15, 1845
5 5, 615
1, 123

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 123 = 7380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7380

Therefore, the GCF of Fractions 381/60,690/7380 is 3/7380

Least Common Multiple of 60,7380 with GCF Formula

Least Common Multiple of 60,7380 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 60,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,7380) = 60

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

GCF(60,7380) x common factors =60 x 1 = 60

LCM(60,7380) = ( 60 × 7380 ) / 60

LCM(60,7380) = 442800 / 60

LCM(60,7380) = 7380


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 381/60, 690/7380

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 381/60, 690/7380?

Answer: GCF of Numerators as per given numbers 381/60, 690/7380 is

GCF of Numerators i.e. for 381,690 is 3

LCM of denominators i.e. for 60,7380 is 7380.

Thus, GCF of Fractions is 3/7380.Finally, GCF of Fractions for 381/60, 690/7380 is 3/7380.