Greatest Common Factor of 1029/650, 9249/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1029/650, 9249/712

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 1029/650,9249/712

Given fractions are 1029/650,9249/712

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 1029,9249

Greatest Common Factor of Numerators i.e. GCF of 1029,9249 is 3 .

LCM of Denominators means LCM of 650,712 as per the given fractions.

LCM of 650,712 is 231400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1029,9249

GCF of Fractions 1029/650,9249/712 is 3/231400

3 1029, 9249
343, 3083

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1029,9249 By Matching Biggest Common Factor Method

Greatest Common Factor of 1029,9249 By Matching Biggest Common Factor Method

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1,3,3083,9249

Greatest Common Factor

We found the factors 1029,9249 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,9249 is 3.

Lets's calculate LCM of 650,712

2 650, 712
325, 356

∴ So the LCM of the given numbers is 2 x 325 x 356 = 231400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/231400

Therefore, the GCF of Fractions 1029/650,9249/712 is 3/231400

Least Common Multiple of 650,712 with GCF Formula

Least Common Multiple of 650,712 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 650,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,712) = 2

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

GCF(650,712) x common factors =2 x 1 = 2

LCM(650,712) = ( 650 × 712 ) / 2

LCM(650,712) = 462800 / 2

LCM(650,712) = 231400


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 1029/650, 9249/712

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 1029/650, 9249/712?

Answer: GCF of Numerators as per given numbers 1029/650, 9249/712 is

GCF of Numerators i.e. for 1029,9249 is 3

LCM of denominators i.e. for 650,712 is 231400.

Thus, GCF of Fractions is 3/231400.Finally, GCF of Fractions for 1029/650, 9249/712 is 3/231400.