Greatest Common Factor of 9772/42, 2645/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9772/42, 2645/622

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 9772/42,2645/622

Given fractions are 9772/42,2645/622

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 9772,2645

Greatest Common Factor of Numerators i.e. GCF of 9772,2645 is 1 .

LCM of Denominators means LCM of 42,622 as per the given fractions.

LCM of 42,622 is 13062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9772,2645

GCF of Fractions 9772/42,2645/622 is 1/13062

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

Greatest Common Factor of 9772,2645 By Matching Biggest Common Factor Method

Greatest Common Factor of 9772,2645 By Matching Biggest Common Factor Method

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1,5,23,115,529,2645

Greatest Common Factor

We found the factors 9772,2645 . The biggest common factor number is the GCF number.
So the greatest common factor 9772,2645 is 1.

Lets's calculate LCM of 42,622

2 42, 622
21, 311

∴ So the LCM of the given numbers is 2 x 21 x 311 = 13062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13062

Therefore, the GCF of Fractions 9772/42,2645/622 is 1/13062

Least Common Multiple of 42,622 with GCF Formula

Least Common Multiple of 42,622 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 42,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,622) = 2

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

GCF(42,622) x common factors =2 x 1 = 2

LCM(42,622) = ( 42 × 622 ) / 2

LCM(42,622) = 26124 / 2

LCM(42,622) = 13062


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 9772/42, 2645/622

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 9772/42, 2645/622?

Answer: GCF of Numerators as per given numbers 9772/42, 2645/622 is

GCF of Numerators i.e. for 9772,2645 is 1

LCM of denominators i.e. for 42,622 is 13062.

Thus, GCF of Fractions is 1/13062.Finally, GCF of Fractions for 9772/42, 2645/622 is 1/13062.