Greatest Common Factor of 9770/904, 3635/6722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9770/904, 3635/6722

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 9770/904,3635/6722

Given fractions are 9770/904,3635/6722

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 9770,3635

Greatest Common Factor of Numerators i.e. GCF of 9770,3635 is 5 .

LCM of Denominators means LCM of 904,6722 as per the given fractions.

LCM of 904,6722 is 3038344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9770,3635

GCF of Fractions 9770/904,3635/6722 is 5/3038344

5 9770, 3635
1954, 727

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9770,3635 By Matching Biggest Common Factor Method

Greatest Common Factor of 9770,3635 By Matching Biggest Common Factor Method

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1,2,5,10,977,1954,4885,9770

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Greatest Common Factor

We found the factors 9770,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,3635 is 5.

Lets's calculate LCM of 904,6722

2 904, 6722
452, 3361

∴ So the LCM of the given numbers is 2 x 452 x 3361 = 3038344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3038344

Therefore, the GCF of Fractions 9770/904,3635/6722 is 5/3038344

Least Common Multiple of 904,6722 with GCF Formula

Least Common Multiple of 904,6722 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 904,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,6722) = 2

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

GCF(904,6722) x common factors =2 x 1 = 2

LCM(904,6722) = ( 904 × 6722 ) / 2

LCM(904,6722) = 6076688 / 2

LCM(904,6722) = 3038344


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 9770/904, 3635/6722

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 9770/904, 3635/6722?

Answer: GCF of Numerators as per given numbers 9770/904, 3635/6722 is

GCF of Numerators i.e. for 9770,3635 is 5

LCM of denominators i.e. for 904,6722 is 3038344.

Thus, GCF of Fractions is 5/3038344.Finally, GCF of Fractions for 9770/904, 3635/6722 is 5/3038344.