Greatest Common Factor of 9788/47, 2701/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9788/47, 2701/302

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 9788/47,2701/302

Given fractions are 9788/47,2701/302

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 9788,2701

Greatest Common Factor of Numerators i.e. GCF of 9788,2701 is 1 .

LCM of Denominators means LCM of 47,302 as per the given fractions.

LCM of 47,302 is 14194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9788,2701

GCF of Fractions 9788/47,2701/302 is 1/14194

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

Greatest Common Factor of 9788,2701 By Matching Biggest Common Factor Method

Greatest Common Factor of 9788,2701 By Matching Biggest Common Factor Method

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1,37,73,2701

Greatest Common Factor

We found the factors 9788,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 9788,2701 is 1.

Lets's calculate LCM of 47,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 14194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14194

Therefore, the GCF of Fractions 9788/47,2701/302 is 1/14194

Least Common Multiple of 47,302 with GCF Formula

Least Common Multiple of 47,302 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 47,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,302) = 1

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

GCF(47,302) x common factors =1 x 1 = 1

LCM(47,302) = ( 47 × 302 ) / 1

LCM(47,302) = 14194 / 1

LCM(47,302) = 14194


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 9788/47, 2701/302

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 9788/47, 2701/302?

Answer: GCF of Numerators as per given numbers 9788/47, 2701/302 is

GCF of Numerators i.e. for 9788,2701 is 1

LCM of denominators i.e. for 47,302 is 14194.

Thus, GCF of Fractions is 1/14194.Finally, GCF of Fractions for 9788/47, 2701/302 is 1/14194.