Greatest Common Factor of 497/929, 9786/6745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/929, 9786/6745

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 497/929,9786/6745

Given fractions are 497/929,9786/6745

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 497,9786

Greatest Common Factor of Numerators i.e. GCF of 497,9786 is 7 .

LCM of Denominators means LCM of 929,6745 as per the given fractions.

LCM of 929,6745 is 6266105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,9786

GCF of Fractions 497/929,9786/6745 is 7/6266105

7 497, 9786
71, 1398

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 497,9786 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,9786 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1,2,3,6,7,14,21,42,233,466,699,1398,1631,3262,4893,9786

Greatest Common Factor

We found the factors 497,9786 . The biggest common factor number is the GCF number.
So the greatest common factor 497,9786 is 7.

Lets's calculate LCM of 929,6745

Given numbers has no common factors except 1. So, there LCM is their product i.e 6266105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6266105

Therefore, the GCF of Fractions 497/929,9786/6745 is 7/6266105

Least Common Multiple of 929,6745 with GCF Formula

Least Common Multiple of 929,6745 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 929,6745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,6745) = 1

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

GCF(929,6745) x common factors =1 x 1 = 1

LCM(929,6745) = ( 929 × 6745 ) / 1

LCM(929,6745) = 6266105 / 1

LCM(929,6745) = 6266105


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 497/929, 9786/6745

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 497/929, 9786/6745?

Answer: GCF of Numerators as per given numbers 497/929, 9786/6745 is

GCF of Numerators i.e. for 497,9786 is 7

LCM of denominators i.e. for 929,6745 is 6266105.

Thus, GCF of Fractions is 7/6266105.Finally, GCF of Fractions for 497/929, 9786/6745 is 7/6266105.