Greatest Common Factor of 397/100, 3432/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/100, 3432/934

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 397/100,3432/934

Given fractions are 397/100,3432/934

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 397,3432

Greatest Common Factor of Numerators i.e. GCF of 397,3432 is 1 .

LCM of Denominators means LCM of 100,934 as per the given fractions.

LCM of 100,934 is 46700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,3432

GCF of Fractions 397/100,3432/934 is 1/46700

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

Greatest Common Factor of 397,3432 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,3432 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 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Greatest Common Factor

We found the factors 397,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 397,3432 is 1.

Lets's calculate LCM of 100,934

2 100, 934
50, 467

∴ So the LCM of the given numbers is 2 x 50 x 467 = 46700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46700

Therefore, the GCF of Fractions 397/100,3432/934 is 1/46700

Least Common Multiple of 100,934 with GCF Formula

Least Common Multiple of 100,934 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 100,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,934) = 2

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

GCF(100,934) x common factors =2 x 1 = 2

LCM(100,934) = ( 100 × 934 ) / 2

LCM(100,934) = 93400 / 2

LCM(100,934) = 46700


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 397/100, 3432/934

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 397/100, 3432/934?

Answer: GCF of Numerators as per given numbers 397/100, 3432/934 is

GCF of Numerators i.e. for 397,3432 is 1

LCM of denominators i.e. for 100,934 is 46700.

Thus, GCF of Fractions is 1/46700.Finally, GCF of Fractions for 397/100, 3432/934 is 1/46700.