Greatest Common Factor of 9735/776, 9709/4106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9735/776, 9709/4106

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 9735/776,9709/4106

Given fractions are 9735/776,9709/4106

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 9735,9709

Greatest Common Factor of Numerators i.e. GCF of 9735,9709 is 1 .

LCM of Denominators means LCM of 776,4106 as per the given fractions.

LCM of 776,4106 is 1593128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9735,9709

GCF of Fractions 9735/776,9709/4106 is 1/1593128

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

Greatest Common Factor of 9735,9709 By Matching Biggest Common Factor Method

Greatest Common Factor of 9735,9709 By Matching Biggest Common Factor Method

Factors of 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors 9735,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 9735,9709 is 1.

Lets's calculate LCM of 776,4106

2 776, 4106
388, 2053

∴ So the LCM of the given numbers is 2 x 388 x 2053 = 1593128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1593128

Therefore, the GCF of Fractions 9735/776,9709/4106 is 1/1593128

Least Common Multiple of 776,4106 with GCF Formula

Least Common Multiple of 776,4106 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 776,4106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,4106) = 2

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

GCF(776,4106) x common factors =2 x 1 = 2

LCM(776,4106) = ( 776 × 4106 ) / 2

LCM(776,4106) = 3186256 / 2

LCM(776,4106) = 1593128


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 9735/776, 9709/4106

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 9735/776, 9709/4106?

Answer: GCF of Numerators as per given numbers 9735/776, 9709/4106 is

GCF of Numerators i.e. for 9735,9709 is 1

LCM of denominators i.e. for 776,4106 is 1593128.

Thus, GCF of Fractions is 1/1593128.Finally, GCF of Fractions for 9735/776, 9709/4106 is 1/1593128.