Greatest Common Factor of 808/938, 809/414, 612/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 808/938, 809/414, 612/337

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 808/938,809/414,612/337

Given fractions are 808/938,809/414,612/337

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 808,809,612

Greatest Common Factor of Numerators i.e. GCF of 808,809,612 is 1 .

LCM of Denominators means LCM of 938,414,337 as per the given fractions.

LCM of 938,414,337 is 65433942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,809,612

GCF of Fractions 808/938,809/414,612/337 is 1/65433942

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

Greatest Common Factor of 808,809,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,809,612 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 808,809,612 . The biggest common factor number is the GCF number.
So the greatest common factor 808,809,612 is 1.

Lets's calculate LCM of 938,414,337

2 938, 414, 337
469, 207, 337

∴ So the LCM of the given numbers is 2 x 469 x 207 x 337 = 65433942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65433942

Therefore, the GCF of Fractions 808/938,809/414,612/337 is 1/65433942

Least Common Multiple of 938,414,337 with GCF Formula

Least Common Multiple of 938,414,337 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 938,414,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,414,337) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(938,414,337) x common factors =1 x 2 = 2

LCM(938,414,337) = ( 938 × 414 × 337 ) / 2

LCM(938,414,337) = 130867884 / 2

LCM(938,414,337) = 65433942


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 808/938, 809/414, 612/337

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 808/938, 809/414, 612/337?

Answer: GCF of Numerators as per given numbers 808/938, 809/414, 612/337 is

GCF of Numerators i.e. for 808,809,612 is 1

LCM of denominators i.e. for 938,414,337 is 65433942.

Thus, GCF of Fractions is 1/65433942.Finally, GCF of Fractions for 808/938, 809/414, 612/337 is 1/65433942.