Greatest Common Factor of 8144/475, 4829/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8144/475, 4829/625

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 8144/475,4829/625

Given fractions are 8144/475,4829/625

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 8144,4829

Greatest Common Factor of Numerators i.e. GCF of 8144,4829 is 1 .

LCM of Denominators means LCM of 475,625 as per the given fractions.

LCM of 475,625 is 11875 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8144,4829

GCF of Fractions 8144/475,4829/625 is 1/11875

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

Greatest Common Factor of 8144,4829 By Matching Biggest Common Factor Method

Greatest Common Factor of 8144,4829 By Matching Biggest Common Factor Method

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Factors of 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1,11,439,4829

Greatest Common Factor

We found the factors 8144,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 8144,4829 is 1.

Lets's calculate LCM of 475,625

5 475, 625
5 95, 125
19, 25

∴ So the LCM of the given numbers is 5 x 5 x 19 x 25 = 11875

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11875

Therefore, the GCF of Fractions 8144/475,4829/625 is 1/11875

Least Common Multiple of 475,625 with GCF Formula

Least Common Multiple of 475,625 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 475,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,625) = 25

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

GCF(475,625) x common factors =25 x 1 = 25

LCM(475,625) = ( 475 × 625 ) / 25

LCM(475,625) = 296875 / 25

LCM(475,625) = 11875


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 8144/475, 4829/625

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 8144/475, 4829/625?

Answer: GCF of Numerators as per given numbers 8144/475, 4829/625 is

GCF of Numerators i.e. for 8144,4829 is 1

LCM of denominators i.e. for 475,625 is 11875.

Thus, GCF of Fractions is 1/11875.Finally, GCF of Fractions for 8144/475, 4829/625 is 1/11875.