Greatest Common Factor of 1971/17, 9302/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1971/17, 9302/428

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 1971/17,9302/428

Given fractions are 1971/17,9302/428

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 1971,9302

Greatest Common Factor of Numerators i.e. GCF of 1971,9302 is 1 .

LCM of Denominators means LCM of 17,428 as per the given fractions.

LCM of 17,428 is 7276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1971,9302

GCF of Fractions 1971/17,9302/428 is 1/7276

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

Greatest Common Factor of 1971,9302 By Matching Biggest Common Factor Method

Greatest Common Factor of 1971,9302 By Matching Biggest Common Factor Method

Factors of 1971

List of positive integer factors of 1971 that divides 1971 without a remainder.

1,3,9,27,73,219,657,1971

Factors of 9302

List of positive integer factors of 9302 that divides 9302 without a remainder.

1,2,4651,9302

Greatest Common Factor

We found the factors 1971,9302 . The biggest common factor number is the GCF number.
So the greatest common factor 1971,9302 is 1.

Lets's calculate LCM of 17,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 7276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7276

Therefore, the GCF of Fractions 1971/17,9302/428 is 1/7276

Least Common Multiple of 17,428 with GCF Formula

Least Common Multiple of 17,428 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 17,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,428) = 1

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

GCF(17,428) x common factors =1 x 1 = 1

LCM(17,428) = ( 17 × 428 ) / 1

LCM(17,428) = 7276 / 1

LCM(17,428) = 7276


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 1971/17, 9302/428

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 1971/17, 9302/428?

Answer: GCF of Numerators as per given numbers 1971/17, 9302/428 is

GCF of Numerators i.e. for 1971,9302 is 1

LCM of denominators i.e. for 17,428 is 7276.

Thus, GCF of Fractions is 1/7276.Finally, GCF of Fractions for 1971/17, 9302/428 is 1/7276.