Greatest Common Factor of 380/12, 530/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/12, 530/634

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 380/12,530/634

Given fractions are 380/12,530/634

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 380,530

Greatest Common Factor of Numerators i.e. GCF of 380,530 is 10 .

LCM of Denominators means LCM of 12,634 as per the given fractions.

LCM of 12,634 is 3804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,530

GCF of Fractions 380/12,530/634 is 10/3804

2 380, 530
5 190, 265
38, 53

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 380,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,530 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 380,530 . The biggest common factor number is the GCF number.
So the greatest common factor 380,530 is 10.

Lets's calculate LCM of 12,634

2 12, 634
6, 317

∴ So the LCM of the given numbers is 2 x 6 x 317 = 3804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3804

Therefore, the GCF of Fractions 380/12,530/634 is 10/3804

Least Common Multiple of 12,634 with GCF Formula

Least Common Multiple of 12,634 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 12,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,634) = 2

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

GCF(12,634) x common factors =2 x 1 = 2

LCM(12,634) = ( 12 × 634 ) / 2

LCM(12,634) = 7608 / 2

LCM(12,634) = 3804


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 380/12, 530/634

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 380/12, 530/634?

Answer: GCF of Numerators as per given numbers 380/12, 530/634 is

GCF of Numerators i.e. for 380,530 is 10

LCM of denominators i.e. for 12,634 is 3804.

Thus, GCF of Fractions is 10/3804.Finally, GCF of Fractions for 380/12, 530/634 is 10/3804.