Greatest Common Factor of 847/690, 909/308, 109/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/690, 909/308, 109/415

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 847/690,909/308,109/415

Given fractions are 847/690,909/308,109/415

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 847,909,109

Greatest Common Factor of Numerators i.e. GCF of 847,909,109 is 1 .

LCM of Denominators means LCM of 690,308,415 as per the given fractions.

LCM of 690,308,415 is 8819580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,909,109

GCF of Fractions 847/690,909/308,109/415 is 1/8819580

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

Greatest Common Factor of 847,909,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,909,109 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 847,909,109 . The biggest common factor number is the GCF number.
So the greatest common factor 847,909,109 is 1.

Lets's calculate LCM of 690,308,415

2 690, 308, 415
5 345, 154, 415
69, 154, 83

∴ So the LCM of the given numbers is 2 x 5 x 69 x 154 x 83 = 8819580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8819580

Therefore, the GCF of Fractions 847/690,909/308,109/415 is 1/8819580

Least Common Multiple of 690,308,415 with GCF Formula

Least Common Multiple of 690,308,415 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 690,308,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,308,415) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(690,308,415) x common factors =1 x 10 = 10

LCM(690,308,415) = ( 690 × 308 × 415 ) / 10

LCM(690,308,415) = 88195800 / 10

LCM(690,308,415) = 8819580


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 847/690, 909/308, 109/415

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 847/690, 909/308, 109/415?

Answer: GCF of Numerators as per given numbers 847/690, 909/308, 109/415 is

GCF of Numerators i.e. for 847,909,109 is 1

LCM of denominators i.e. for 690,308,415 is 8819580.

Thus, GCF of Fractions is 1/8819580.Finally, GCF of Fractions for 847/690, 909/308, 109/415 is 1/8819580.