Greatest Common Factor of 845/57, 429/2408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/57, 429/2408

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 845/57,429/2408

Given fractions are 845/57,429/2408

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 845,429

Greatest Common Factor of Numerators i.e. GCF of 845,429 is 13 .

LCM of Denominators means LCM of 57,2408 as per the given fractions.

LCM of 57,2408 is 137256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,429

GCF of Fractions 845/57,429/2408 is 13/137256

13 845, 429
65, 33

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 845,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,429 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 845,429 . The biggest common factor number is the GCF number.
So the greatest common factor 845,429 is 13.

Lets's calculate LCM of 57,2408

Given numbers has no common factors except 1. So, there LCM is their product i.e 137256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/137256

Therefore, the GCF of Fractions 845/57,429/2408 is 13/137256

Least Common Multiple of 57,2408 with GCF Formula

Least Common Multiple of 57,2408 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 57,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,2408) = 1

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

GCF(57,2408) x common factors =1 x 1 = 1

LCM(57,2408) = ( 57 × 2408 ) / 1

LCM(57,2408) = 137256 / 1

LCM(57,2408) = 137256


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 845/57, 429/2408

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 845/57, 429/2408?

Answer: GCF of Numerators as per given numbers 845/57, 429/2408 is

GCF of Numerators i.e. for 845,429 is 13

LCM of denominators i.e. for 57,2408 is 137256.

Thus, GCF of Fractions is 13/137256.Finally, GCF of Fractions for 845/57, 429/2408 is 13/137256.