Greatest Common Factor of 6785/34, 9631/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6785/34, 9631/965

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 6785/34,9631/965

Given fractions are 6785/34,9631/965

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 6785,9631

Greatest Common Factor of Numerators i.e. GCF of 6785,9631 is 1 .

LCM of Denominators means LCM of 34,965 as per the given fractions.

LCM of 34,965 is 32810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6785,9631

GCF of Fractions 6785/34,9631/965 is 1/32810

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

Greatest Common Factor of 6785,9631 By Matching Biggest Common Factor Method

Greatest Common Factor of 6785,9631 By Matching Biggest Common Factor Method

Factors of 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1,5,23,59,115,295,1357,6785

Factors of 9631

List of positive integer factors of 9631 that divides 9631 without a remainder.

1,9631

Greatest Common Factor

We found the factors 6785,9631 . The biggest common factor number is the GCF number.
So the greatest common factor 6785,9631 is 1.

Lets's calculate LCM of 34,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 32810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32810

Therefore, the GCF of Fractions 6785/34,9631/965 is 1/32810

Least Common Multiple of 34,965 with GCF Formula

Least Common Multiple of 34,965 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 34,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,965) = 1

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

GCF(34,965) x common factors =1 x 1 = 1

LCM(34,965) = ( 34 × 965 ) / 1

LCM(34,965) = 32810 / 1

LCM(34,965) = 32810


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 6785/34, 9631/965

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 6785/34, 9631/965?

Answer: GCF of Numerators as per given numbers 6785/34, 9631/965 is

GCF of Numerators i.e. for 6785,9631 is 1

LCM of denominators i.e. for 34,965 is 32810.

Thus, GCF of Fractions is 1/32810.Finally, GCF of Fractions for 6785/34, 9631/965 is 1/32810.