Greatest Common Factor of 9785/67, 3431/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9785/67, 3431/913

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 9785/67,3431/913

Given fractions are 9785/67,3431/913

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 9785,3431

Greatest Common Factor of Numerators i.e. GCF of 9785,3431 is 1 .

LCM of Denominators means LCM of 67,913 as per the given fractions.

LCM of 67,913 is 61171 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9785,3431

GCF of Fractions 9785/67,3431/913 is 1/61171

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

Greatest Common Factor of 9785,3431 By Matching Biggest Common Factor Method

Greatest Common Factor of 9785,3431 By Matching Biggest Common Factor Method

Factors of 9785

List of positive integer factors of 9785 that divides 9785 without a remainder.

1,5,19,95,103,515,1957,9785

Factors of 3431

List of positive integer factors of 3431 that divides 3431 without a remainder.

1,47,73,3431

Greatest Common Factor

We found the factors 9785,3431 . The biggest common factor number is the GCF number.
So the greatest common factor 9785,3431 is 1.

Lets's calculate LCM of 67,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 61171

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61171

Therefore, the GCF of Fractions 9785/67,3431/913 is 1/61171

Least Common Multiple of 67,913 with GCF Formula

Least Common Multiple of 67,913 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 67,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,913) = 1

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

GCF(67,913) x common factors =1 x 1 = 1

LCM(67,913) = ( 67 × 913 ) / 1

LCM(67,913) = 61171 / 1

LCM(67,913) = 61171


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 9785/67, 3431/913

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 9785/67, 3431/913?

Answer: GCF of Numerators as per given numbers 9785/67, 3431/913 is

GCF of Numerators i.e. for 9785,3431 is 1

LCM of denominators i.e. for 67,913 is 61171.

Thus, GCF of Fractions is 1/61171.Finally, GCF of Fractions for 9785/67, 3431/913 is 1/61171.