Greatest Common Factor of 397/38, 526/60, 978/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/38, 526/60, 978/31

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 397/38,526/60,978/31

Given fractions are 397/38,526/60,978/31

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 397,526,978

Greatest Common Factor of Numerators i.e. GCF of 397,526,978 is 1 .

LCM of Denominators means LCM of 38,60,31 as per the given fractions.

LCM of 38,60,31 is 35340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,526,978

GCF of Fractions 397/38,526/60,978/31 is 1/35340

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

Greatest Common Factor of 397,526,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,526,978 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 397,526,978 . The biggest common factor number is the GCF number.
So the greatest common factor 397,526,978 is 1.

Lets's calculate LCM of 38,60,31

2 38, 60, 31
19, 30, 31

∴ So the LCM of the given numbers is 2 x 19 x 30 x 31 = 35340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35340

Therefore, the GCF of Fractions 397/38,526/60,978/31 is 1/35340

Least Common Multiple of 38,60,31 with GCF Formula

Least Common Multiple of 38,60,31 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 38,60,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,60,31) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,60,31) x common factors =1 x 2 = 2

LCM(38,60,31) = ( 38 × 60 × 31 ) / 2

LCM(38,60,31) = 70680 / 2

LCM(38,60,31) = 35340


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 397/38, 526/60, 978/31

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 397/38, 526/60, 978/31?

Answer: GCF of Numerators as per given numbers 397/38, 526/60, 978/31 is

GCF of Numerators i.e. for 397,526,978 is 1

LCM of denominators i.e. for 38,60,31 is 35340.

Thus, GCF of Fractions is 1/35340.Finally, GCF of Fractions for 397/38, 526/60, 978/31 is 1/35340.