Greatest Common Factor of 934/689, 9238/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 934/689, 9238/813

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 934/689,9238/813

Given fractions are 934/689,9238/813

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 934,9238

Greatest Common Factor of Numerators i.e. GCF of 934,9238 is 2 .

LCM of Denominators means LCM of 689,813 as per the given fractions.

LCM of 689,813 is 560157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 934,9238

GCF of Fractions 934/689,9238/813 is 2/560157

2 934, 9238
467, 4619

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

Greatest Common Factor of 934,9238 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,9238 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1,2,31,62,149,298,4619,9238

Greatest Common Factor

We found the factors 934,9238 . The biggest common factor number is the GCF number.
So the greatest common factor 934,9238 is 2.

Lets's calculate LCM of 689,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 560157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/560157

Therefore, the GCF of Fractions 934/689,9238/813 is 2/560157

Least Common Multiple of 689,813 with GCF Formula

Least Common Multiple of 689,813 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 689,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,813) = 1

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

GCF(689,813) x common factors =1 x 1 = 1

LCM(689,813) = ( 689 × 813 ) / 1

LCM(689,813) = 560157 / 1

LCM(689,813) = 560157


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 934/689, 9238/813

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 934/689, 9238/813?

Answer: GCF of Numerators as per given numbers 934/689, 9238/813 is

GCF of Numerators i.e. for 934,9238 is 2

LCM of denominators i.e. for 689,813 is 560157.

Thus, GCF of Fractions is 2/560157.Finally, GCF of Fractions for 934/689, 9238/813 is 2/560157.