Greatest Common Factor of 8429/416, 8941/9709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8429/416, 8941/9709

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 8429/416,8941/9709

Given fractions are 8429/416,8941/9709

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 8429,8941

Greatest Common Factor of Numerators i.e. GCF of 8429,8941 is 1 .

LCM of Denominators means LCM of 416,9709 as per the given fractions.

LCM of 416,9709 is 4038944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8429,8941

GCF of Fractions 8429/416,8941/9709 is 1/4038944

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

Greatest Common Factor of 8429,8941 By Matching Biggest Common Factor Method

Greatest Common Factor of 8429,8941 By Matching Biggest Common Factor Method

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Factors of 8941

List of positive integer factors of 8941 that divides 8941 without a remainder.

1,8941

Greatest Common Factor

We found the factors 8429,8941 . The biggest common factor number is the GCF number.
So the greatest common factor 8429,8941 is 1.

Lets's calculate LCM of 416,9709

Given numbers has no common factors except 1. So, there LCM is their product i.e 4038944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4038944

Therefore, the GCF of Fractions 8429/416,8941/9709 is 1/4038944

Least Common Multiple of 416,9709 with GCF Formula

Least Common Multiple of 416,9709 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 416,9709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,9709) = 1

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

GCF(416,9709) x common factors =1 x 1 = 1

LCM(416,9709) = ( 416 × 9709 ) / 1

LCM(416,9709) = 4038944 / 1

LCM(416,9709) = 4038944


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 8429/416, 8941/9709

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 8429/416, 8941/9709?

Answer: GCF of Numerators as per given numbers 8429/416, 8941/9709 is

GCF of Numerators i.e. for 8429,8941 is 1

LCM of denominators i.e. for 416,9709 is 4038944.

Thus, GCF of Fractions is 1/4038944.Finally, GCF of Fractions for 8429/416, 8941/9709 is 1/4038944.