Greatest Common Factor of 825/497, 6945/9666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 825/497, 6945/9666

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 825/497,6945/9666

Given fractions are 825/497,6945/9666

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 825,6945

Greatest Common Factor of Numerators i.e. GCF of 825,6945 is 15 .

LCM of Denominators means LCM of 497,9666 as per the given fractions.

LCM of 497,9666 is 4804002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 825,6945

GCF of Fractions 825/497,6945/9666 is 15/4804002

3 825, 6945
5 275, 2315
55, 463

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 825,6945 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,6945 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Greatest Common Factor

We found the factors 825,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 825,6945 is 15.

Lets's calculate LCM of 497,9666

Given numbers has no common factors except 1. So, there LCM is their product i.e 4804002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/4804002

Therefore, the GCF of Fractions 825/497,6945/9666 is 15/4804002

Least Common Multiple of 497,9666 with GCF Formula

Least Common Multiple of 497,9666 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 497,9666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,9666) = 1

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

GCF(497,9666) x common factors =1 x 1 = 1

LCM(497,9666) = ( 497 × 9666 ) / 1

LCM(497,9666) = 4804002 / 1

LCM(497,9666) = 4804002


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 825/497, 6945/9666

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 825/497, 6945/9666?

Answer: GCF of Numerators as per given numbers 825/497, 6945/9666 is

GCF of Numerators i.e. for 825,6945 is 15

LCM of denominators i.e. for 497,9666 is 4804002.

Thus, GCF of Fractions is 15/4804002.Finally, GCF of Fractions for 825/497, 6945/9666 is 15/4804002.