Greatest Common Factor of 684/417, 738/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/417, 738/382

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 684/417,738/382

Given fractions are 684/417,738/382

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 684,738

Greatest Common Factor of Numerators i.e. GCF of 684,738 is 18 .

LCM of Denominators means LCM of 417,382 as per the given fractions.

LCM of 417,382 is 159294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,738

GCF of Fractions 684/417,738/382 is 18/159294

2 684, 738
3 342, 369
3 114, 123
38, 41

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 684,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,738 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 684,738 . The biggest common factor number is the GCF number.
So the greatest common factor 684,738 is 18.

Lets's calculate LCM of 417,382

Given numbers has no common factors except 1. So, there LCM is their product i.e 159294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/159294

Therefore, the GCF of Fractions 684/417,738/382 is 18/159294

Least Common Multiple of 417,382 with GCF Formula

Least Common Multiple of 417,382 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 417,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,382) = 1

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

GCF(417,382) x common factors =1 x 1 = 1

LCM(417,382) = ( 417 × 382 ) / 1

LCM(417,382) = 159294 / 1

LCM(417,382) = 159294


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 684/417, 738/382

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 684/417, 738/382?

Answer: GCF of Numerators as per given numbers 684/417, 738/382 is

GCF of Numerators i.e. for 684,738 is 18

LCM of denominators i.e. for 417,382 is 159294.

Thus, GCF of Fractions is 18/159294.Finally, GCF of Fractions for 684/417, 738/382 is 18/159294.