Greatest Common Factor of 1656/342, 9761/3089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1656/342, 9761/3089

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 1656/342,9761/3089

Given fractions are 1656/342,9761/3089

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 1656,9761

Greatest Common Factor of Numerators i.e. GCF of 1656,9761 is 1 .

LCM of Denominators means LCM of 342,3089 as per the given fractions.

LCM of 342,3089 is 1056438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1656,9761

GCF of Fractions 1656/342,9761/3089 is 1/1056438

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

Greatest Common Factor of 1656,9761 By Matching Biggest Common Factor Method

Greatest Common Factor of 1656,9761 By Matching Biggest Common Factor Method

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Factors of 9761

List of positive integer factors of 9761 that divides 9761 without a remainder.

1,43,227,9761

Greatest Common Factor

We found the factors 1656,9761 . The biggest common factor number is the GCF number.
So the greatest common factor 1656,9761 is 1.

Lets's calculate LCM of 342,3089

Given numbers has no common factors except 1. So, there LCM is their product i.e 1056438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1056438

Therefore, the GCF of Fractions 1656/342,9761/3089 is 1/1056438

Least Common Multiple of 342,3089 with GCF Formula

Least Common Multiple of 342,3089 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 342,3089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,3089) = 1

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

GCF(342,3089) x common factors =1 x 1 = 1

LCM(342,3089) = ( 342 × 3089 ) / 1

LCM(342,3089) = 1056438 / 1

LCM(342,3089) = 1056438


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 1656/342, 9761/3089

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 1656/342, 9761/3089?

Answer: GCF of Numerators as per given numbers 1656/342, 9761/3089 is

GCF of Numerators i.e. for 1656,9761 is 1

LCM of denominators i.e. for 342,3089 is 1056438.

Thus, GCF of Fractions is 1/1056438.Finally, GCF of Fractions for 1656/342, 9761/3089 is 1/1056438.