Greatest Common Factor of 6985/865, 2835/9636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6985/865, 2835/9636

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 6985/865,2835/9636

Given fractions are 6985/865,2835/9636

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 6985,2835

Greatest Common Factor of Numerators i.e. GCF of 6985,2835 is 5 .

LCM of Denominators means LCM of 865,9636 as per the given fractions.

LCM of 865,9636 is 8335140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6985,2835

GCF of Fractions 6985/865,2835/9636 is 5/8335140

5 6985, 2835
1397, 567

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

Greatest Common Factor of 6985,2835 By Matching Biggest Common Factor Method

Greatest Common Factor of 6985,2835 By Matching Biggest Common Factor Method

Factors of 6985

List of positive integer factors of 6985 that divides 6985 without a remainder.

1,5,11,55,127,635,1397,6985

Factors of 2835

List of positive integer factors of 2835 that divides 2835 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,315,405,567,945,2835

Greatest Common Factor

We found the factors 6985,2835 . The biggest common factor number is the GCF number.
So the greatest common factor 6985,2835 is 5.

Lets's calculate LCM of 865,9636

Given numbers has no common factors except 1. So, there LCM is their product i.e 8335140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8335140

Therefore, the GCF of Fractions 6985/865,2835/9636 is 5/8335140

Least Common Multiple of 865,9636 with GCF Formula

Least Common Multiple of 865,9636 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 865,9636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,9636) = 1

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

GCF(865,9636) x common factors =1 x 1 = 1

LCM(865,9636) = ( 865 × 9636 ) / 1

LCM(865,9636) = 8335140 / 1

LCM(865,9636) = 8335140


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 6985/865, 2835/9636

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 6985/865, 2835/9636?

Answer: GCF of Numerators as per given numbers 6985/865, 2835/9636 is

GCF of Numerators i.e. for 6985,2835 is 5

LCM of denominators i.e. for 865,9636 is 8335140.

Thus, GCF of Fractions is 5/8335140.Finally, GCF of Fractions for 6985/865, 2835/9636 is 5/8335140.