Greatest Common Factor of 9967/279, 1175/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9967/279, 1175/265

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 9967/279,1175/265

Given fractions are 9967/279,1175/265

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 9967,1175

Greatest Common Factor of Numerators i.e. GCF of 9967,1175 is 1 .

LCM of Denominators means LCM of 279,265 as per the given fractions.

LCM of 279,265 is 73935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9967,1175

GCF of Fractions 9967/279,1175/265 is 1/73935

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

Greatest Common Factor of 9967,1175 By Matching Biggest Common Factor Method

Greatest Common Factor of 9967,1175 By Matching Biggest Common Factor Method

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Factors of 1175

List of positive integer factors of 1175 that divides 1175 without a remainder.

1,5,25,47,235,1175

Greatest Common Factor

We found the factors 9967,1175 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,1175 is 1.

Lets's calculate LCM of 279,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 73935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73935

Therefore, the GCF of Fractions 9967/279,1175/265 is 1/73935

Least Common Multiple of 279,265 with GCF Formula

Least Common Multiple of 279,265 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 279,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,265) = 1

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

GCF(279,265) x common factors =1 x 1 = 1

LCM(279,265) = ( 279 × 265 ) / 1

LCM(279,265) = 73935 / 1

LCM(279,265) = 73935


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 9967/279, 1175/265

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 9967/279, 1175/265?

Answer: GCF of Numerators as per given numbers 9967/279, 1175/265 is

GCF of Numerators i.e. for 9967,1175 is 1

LCM of denominators i.e. for 279,265 is 73935.

Thus, GCF of Fractions is 1/73935.Finally, GCF of Fractions for 9967/279, 1175/265 is 1/73935.