Greatest Common Factor of 1029/68, 9365/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1029/68, 9365/657

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 1029/68,9365/657

Given fractions are 1029/68,9365/657

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 1029,9365

Greatest Common Factor of Numerators i.e. GCF of 1029,9365 is 1 .

LCM of Denominators means LCM of 68,657 as per the given fractions.

LCM of 68,657 is 44676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1029,9365

GCF of Fractions 1029/68,9365/657 is 1/44676

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

Greatest Common Factor of 1029,9365 By Matching Biggest Common Factor Method

Greatest Common Factor of 1029,9365 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 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Greatest Common Factor

We found the factors 1029,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 1029,9365 is 1.

Lets's calculate LCM of 68,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 44676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44676

Therefore, the GCF of Fractions 1029/68,9365/657 is 1/44676

Least Common Multiple of 68,657 with GCF Formula

Least Common Multiple of 68,657 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 68,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,657) = 1

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

GCF(68,657) x common factors =1 x 1 = 1

LCM(68,657) = ( 68 × 657 ) / 1

LCM(68,657) = 44676 / 1

LCM(68,657) = 44676


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 1029/68, 9365/657

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 1029/68, 9365/657?

Answer: GCF of Numerators as per given numbers 1029/68, 9365/657 is

GCF of Numerators i.e. for 1029,9365 is 1

LCM of denominators i.e. for 68,657 is 44676.

Thus, GCF of Fractions is 1/44676.Finally, GCF of Fractions for 1029/68, 9365/657 is 1/44676.