Greatest Common Factor of 904/67, 8134/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 904/67, 8134/511

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 904/67,8134/511

Given fractions are 904/67,8134/511

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 904,8134

Greatest Common Factor of Numerators i.e. GCF of 904,8134 is 2 .

LCM of Denominators means LCM of 67,511 as per the given fractions.

LCM of 67,511 is 34237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 904,8134

GCF of Fractions 904/67,8134/511 is 2/34237

2 904, 8134
452, 4067

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 904,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,8134 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 904,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 904,8134 is 2.

Lets's calculate LCM of 67,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 34237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34237

Therefore, the GCF of Fractions 904/67,8134/511 is 2/34237

Least Common Multiple of 67,511 with GCF Formula

Least Common Multiple of 67,511 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 67,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,511) = 1

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

GCF(67,511) x common factors =1 x 1 = 1

LCM(67,511) = ( 67 × 511 ) / 1

LCM(67,511) = 34237 / 1

LCM(67,511) = 34237


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 904/67, 8134/511

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 904/67, 8134/511?

Answer: GCF of Numerators as per given numbers 904/67, 8134/511 is

GCF of Numerators i.e. for 904,8134 is 2

LCM of denominators i.e. for 67,511 is 34237.

Thus, GCF of Fractions is 2/34237.Finally, GCF of Fractions for 904/67, 8134/511 is 2/34237.