Greatest Common Factor of 6705/360, 9292/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6705/360, 9292/624

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 6705/360,9292/624

Given fractions are 6705/360,9292/624

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 6705,9292

Greatest Common Factor of Numerators i.e. GCF of 6705,9292 is 1 .

LCM of Denominators means LCM of 360,624 as per the given fractions.

LCM of 360,624 is 9360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6705,9292

GCF of Fractions 6705/360,9292/624 is 1/9360

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

Greatest Common Factor of 6705,9292 By Matching Biggest Common Factor Method

Greatest Common Factor of 6705,9292 By Matching Biggest Common Factor Method

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1,2,4,23,46,92,101,202,404,2323,4646,9292

Greatest Common Factor

We found the factors 6705,9292 . The biggest common factor number is the GCF number.
So the greatest common factor 6705,9292 is 1.

Lets's calculate LCM of 360,624

2 360, 624
2 180, 312
2 90, 156
3 45, 78
15, 26

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 15 x 26 = 9360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9360

Therefore, the GCF of Fractions 6705/360,9292/624 is 1/9360

Least Common Multiple of 360,624 with GCF Formula

Least Common Multiple of 360,624 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 360,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,624) = 24

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

GCF(360,624) x common factors =24 x 1 = 24

LCM(360,624) = ( 360 × 624 ) / 24

LCM(360,624) = 224640 / 24

LCM(360,624) = 9360


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 6705/360, 9292/624

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 6705/360, 9292/624?

Answer: GCF of Numerators as per given numbers 6705/360, 9292/624 is

GCF of Numerators i.e. for 6705,9292 is 1

LCM of denominators i.e. for 360,624 is 9360.

Thus, GCF of Fractions is 1/9360.Finally, GCF of Fractions for 6705/360, 9292/624 is 1/9360.