Greatest Common Factor of 8431/439, 6176/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8431/439, 6176/420

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 8431/439,6176/420

Given fractions are 8431/439,6176/420

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 8431,6176

Greatest Common Factor of Numerators i.e. GCF of 8431,6176 is 1 .

LCM of Denominators means LCM of 439,420 as per the given fractions.

LCM of 439,420 is 184380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8431,6176

GCF of Fractions 8431/439,6176/420 is 1/184380

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

Greatest Common Factor of 8431,6176 By Matching Biggest Common Factor Method

Greatest Common Factor of 8431,6176 By Matching Biggest Common Factor Method

Factors of 8431

List of positive integer factors of 8431 that divides 8431 without a remainder.

1,8431

Factors of 6176

List of positive integer factors of 6176 that divides 6176 without a remainder.

1,2,4,8,16,32,193,386,772,1544,3088,6176

Greatest Common Factor

We found the factors 8431,6176 . The biggest common factor number is the GCF number.
So the greatest common factor 8431,6176 is 1.

Lets's calculate LCM of 439,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 184380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184380

Therefore, the GCF of Fractions 8431/439,6176/420 is 1/184380

Least Common Multiple of 439,420 with GCF Formula

Least Common Multiple of 439,420 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 439,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,420) = 1

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

GCF(439,420) x common factors =1 x 1 = 1

LCM(439,420) = ( 439 × 420 ) / 1

LCM(439,420) = 184380 / 1

LCM(439,420) = 184380


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 8431/439, 6176/420

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 8431/439, 6176/420?

Answer: GCF of Numerators as per given numbers 8431/439, 6176/420 is

GCF of Numerators i.e. for 8431,6176 is 1

LCM of denominators i.e. for 439,420 is 184380.

Thus, GCF of Fractions is 1/184380.Finally, GCF of Fractions for 8431/439, 6176/420 is 1/184380.