Greatest Common Factor of 1471/968, 9076/1151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1471/968, 9076/1151

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 1471/968,9076/1151

Given fractions are 1471/968,9076/1151

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 1471,9076

Greatest Common Factor of Numerators i.e. GCF of 1471,9076 is 1 .

LCM of Denominators means LCM of 968,1151 as per the given fractions.

LCM of 968,1151 is 1114168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1471,9076

GCF of Fractions 1471/968,9076/1151 is 1/1114168

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

Greatest Common Factor of 1471,9076 By Matching Biggest Common Factor Method

Greatest Common Factor of 1471,9076 By Matching Biggest Common Factor Method

Factors of 1471

List of positive integer factors of 1471 that divides 1471 without a remainder.

1,1471

Factors of 9076

List of positive integer factors of 9076 that divides 9076 without a remainder.

1,2,4,2269,4538,9076

Greatest Common Factor

We found the factors 1471,9076 . The biggest common factor number is the GCF number.
So the greatest common factor 1471,9076 is 1.

Lets's calculate LCM of 968,1151

Given numbers has no common factors except 1. So, there LCM is their product i.e 1114168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1114168

Therefore, the GCF of Fractions 1471/968,9076/1151 is 1/1114168

Least Common Multiple of 968,1151 with GCF Formula

Least Common Multiple of 968,1151 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 968,1151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,1151) = 1

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

GCF(968,1151) x common factors =1 x 1 = 1

LCM(968,1151) = ( 968 × 1151 ) / 1

LCM(968,1151) = 1114168 / 1

LCM(968,1151) = 1114168


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 1471/968, 9076/1151

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 1471/968, 9076/1151?

Answer: GCF of Numerators as per given numbers 1471/968, 9076/1151 is

GCF of Numerators i.e. for 1471,9076 is 1

LCM of denominators i.e. for 968,1151 is 1114168.

Thus, GCF of Fractions is 1/1114168.Finally, GCF of Fractions for 1471/968, 9076/1151 is 1/1114168.