Greatest Common Factor of 9797/167, 6163/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9797/167, 6163/277

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 9797/167,6163/277

Given fractions are 9797/167,6163/277

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 9797,6163

Greatest Common Factor of Numerators i.e. GCF of 9797,6163 is 1 .

LCM of Denominators means LCM of 167,277 as per the given fractions.

LCM of 167,277 is 46259 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9797,6163

GCF of Fractions 9797/167,6163/277 is 1/46259

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

Greatest Common Factor of 9797,6163 By Matching Biggest Common Factor Method

Greatest Common Factor of 9797,6163 By Matching Biggest Common Factor Method

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Factors of 6163

List of positive integer factors of 6163 that divides 6163 without a remainder.

1,6163

Greatest Common Factor

We found the factors 9797,6163 . The biggest common factor number is the GCF number.
So the greatest common factor 9797,6163 is 1.

Lets's calculate LCM of 167,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 46259

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46259

Therefore, the GCF of Fractions 9797/167,6163/277 is 1/46259

Least Common Multiple of 167,277 with GCF Formula

Least Common Multiple of 167,277 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 167,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,277) = 1

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

GCF(167,277) x common factors =1 x 1 = 1

LCM(167,277) = ( 167 × 277 ) / 1

LCM(167,277) = 46259 / 1

LCM(167,277) = 46259


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 9797/167, 6163/277

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 9797/167, 6163/277?

Answer: GCF of Numerators as per given numbers 9797/167, 6163/277 is

GCF of Numerators i.e. for 9797,6163 is 1

LCM of denominators i.e. for 167,277 is 46259.

Thus, GCF of Fractions is 1/46259.Finally, GCF of Fractions for 9797/167, 6163/277 is 1/46259.