Greatest Common Factor of 6915/306, 1435/4290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6915/306, 1435/4290

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 6915/306,1435/4290

Given fractions are 6915/306,1435/4290

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 6915,1435

Greatest Common Factor of Numerators i.e. GCF of 6915,1435 is 5 .

LCM of Denominators means LCM of 306,4290 as per the given fractions.

LCM of 306,4290 is 218790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6915,1435

GCF of Fractions 6915/306,1435/4290 is 5/218790

5 6915, 1435
1383, 287

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6915,1435 By Matching Biggest Common Factor Method

Greatest Common Factor of 6915,1435 By Matching Biggest Common Factor Method

Factors of 6915

List of positive integer factors of 6915 that divides 6915 without a remainder.

1,3,5,15,461,1383,2305,6915

Factors of 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1,5,7,35,41,205,287,1435

Greatest Common Factor

We found the factors 6915,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 6915,1435 is 5.

Lets's calculate LCM of 306,4290

2 306, 4290
3 153, 2145
51, 715

∴ So the LCM of the given numbers is 2 x 3 x 51 x 715 = 218790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/218790

Therefore, the GCF of Fractions 6915/306,1435/4290 is 5/218790

Least Common Multiple of 306,4290 with GCF Formula

Least Common Multiple of 306,4290 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 306,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,4290) = 6

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

GCF(306,4290) x common factors =6 x 1 = 6

LCM(306,4290) = ( 306 × 4290 ) / 6

LCM(306,4290) = 1312740 / 6

LCM(306,4290) = 218790


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 6915/306, 1435/4290

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 6915/306, 1435/4290?

Answer: GCF of Numerators as per given numbers 6915/306, 1435/4290 is

GCF of Numerators i.e. for 6915,1435 is 5

LCM of denominators i.e. for 306,4290 is 218790.

Thus, GCF of Fractions is 5/218790.Finally, GCF of Fractions for 6915/306, 1435/4290 is 5/218790.