Greatest Common Factor of 965/574, 8234/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 965/574, 8234/734

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 965/574,8234/734

Given fractions are 965/574,8234/734

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 965,8234

Greatest Common Factor of Numerators i.e. GCF of 965,8234 is 1 .

LCM of Denominators means LCM of 574,734 as per the given fractions.

LCM of 574,734 is 210658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 965,8234

GCF of Fractions 965/574,8234/734 is 1/210658

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

Greatest Common Factor of 965,8234 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,8234 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1,2,23,46,179,358,4117,8234

Greatest Common Factor

We found the factors 965,8234 . The biggest common factor number is the GCF number.
So the greatest common factor 965,8234 is 1.

Lets's calculate LCM of 574,734

2 574, 734
287, 367

∴ So the LCM of the given numbers is 2 x 287 x 367 = 210658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210658

Therefore, the GCF of Fractions 965/574,8234/734 is 1/210658

Least Common Multiple of 574,734 with GCF Formula

Least Common Multiple of 574,734 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 574,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,734) = 2

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

GCF(574,734) x common factors =2 x 1 = 2

LCM(574,734) = ( 574 × 734 ) / 2

LCM(574,734) = 421316 / 2

LCM(574,734) = 210658


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 965/574, 8234/734

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 965/574, 8234/734?

Answer: GCF of Numerators as per given numbers 965/574, 8234/734 is

GCF of Numerators i.e. for 965,8234 is 1

LCM of denominators i.e. for 574,734 is 210658.

Thus, GCF of Fractions is 1/210658.Finally, GCF of Fractions for 965/574, 8234/734 is 1/210658.