Greatest Common Factor of 380/98, 931/2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/98, 931/2978

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 380/98,931/2978

Given fractions are 380/98,931/2978

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 380,931

Greatest Common Factor of Numerators i.e. GCF of 380,931 is 19 .

LCM of Denominators means LCM of 98,2978 as per the given fractions.

LCM of 98,2978 is 145922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,931

GCF of Fractions 380/98,931/2978 is 19/145922

19 380, 931
20, 49

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 380,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,931 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 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Greatest Common Factor

We found the factors 380,931 . The biggest common factor number is the GCF number.
So the greatest common factor 380,931 is 19.

Lets's calculate LCM of 98,2978

2 98, 2978
49, 1489

∴ So the LCM of the given numbers is 2 x 49 x 1489 = 145922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/145922

Therefore, the GCF of Fractions 380/98,931/2978 is 19/145922

Least Common Multiple of 98,2978 with GCF Formula

Least Common Multiple of 98,2978 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 98,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,2978) = 2

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

GCF(98,2978) x common factors =2 x 1 = 2

LCM(98,2978) = ( 98 × 2978 ) / 2

LCM(98,2978) = 291844 / 2

LCM(98,2978) = 145922


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 380/98, 931/2978

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 380/98, 931/2978?

Answer: GCF of Numerators as per given numbers 380/98, 931/2978 is

GCF of Numerators i.e. for 380,931 is 19

LCM of denominators i.e. for 98,2978 is 145922.

Thus, GCF of Fractions is 19/145922.Finally, GCF of Fractions for 380/98, 931/2978 is 19/145922.