Greatest Common Factor of 9455/354, 6356/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9455/354, 6356/971

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 9455/354,6356/971

Given fractions are 9455/354,6356/971

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 9455,6356

Greatest Common Factor of Numerators i.e. GCF of 9455,6356 is 1 .

LCM of Denominators means LCM of 354,971 as per the given fractions.

LCM of 354,971 is 343734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9455,6356

GCF of Fractions 9455/354,6356/971 is 1/343734

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

Greatest Common Factor of 9455,6356 By Matching Biggest Common Factor Method

Greatest Common Factor of 9455,6356 By Matching Biggest Common Factor Method

Factors of 9455

List of positive integer factors of 9455 that divides 9455 without a remainder.

1,5,31,61,155,305,1891,9455

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors 9455,6356 . The biggest common factor number is the GCF number.
So the greatest common factor 9455,6356 is 1.

Lets's calculate LCM of 354,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 343734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343734

Therefore, the GCF of Fractions 9455/354,6356/971 is 1/343734

Least Common Multiple of 354,971 with GCF Formula

Least Common Multiple of 354,971 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 354,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,971) = 1

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

GCF(354,971) x common factors =1 x 1 = 1

LCM(354,971) = ( 354 × 971 ) / 1

LCM(354,971) = 343734 / 1

LCM(354,971) = 343734


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 9455/354, 6356/971

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 9455/354, 6356/971?

Answer: GCF of Numerators as per given numbers 9455/354, 6356/971 is

GCF of Numerators i.e. for 9455,6356 is 1

LCM of denominators i.e. for 354,971 is 343734.

Thus, GCF of Fractions is 1/343734.Finally, GCF of Fractions for 9455/354, 6356/971 is 1/343734.