Greatest Common Factor of 684/925, 708/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/925, 708/385

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 684/925,708/385

Given fractions are 684/925,708/385

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 684,708

Greatest Common Factor of Numerators i.e. GCF of 684,708 is 12 .

LCM of Denominators means LCM of 925,385 as per the given fractions.

LCM of 925,385 is 71225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,708

GCF of Fractions 684/925,708/385 is 12/71225

2 684, 708
2 342, 354
3 171, 177
57, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 684,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,708 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 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 684,708 . The biggest common factor number is the GCF number.
So the greatest common factor 684,708 is 12.

Lets's calculate LCM of 925,385

5 925, 385
185, 77

∴ So the LCM of the given numbers is 5 x 185 x 77 = 71225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/71225

Therefore, the GCF of Fractions 684/925,708/385 is 12/71225

Least Common Multiple of 925,385 with GCF Formula

Least Common Multiple of 925,385 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 925,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,385) = 5

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

GCF(925,385) x common factors =5 x 1 = 5

LCM(925,385) = ( 925 × 385 ) / 5

LCM(925,385) = 356125 / 5

LCM(925,385) = 71225


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 684/925, 708/385

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 684/925, 708/385?

Answer: GCF of Numerators as per given numbers 684/925, 708/385 is

GCF of Numerators i.e. for 684,708 is 12

LCM of denominators i.e. for 925,385 is 71225.

Thus, GCF of Fractions is 12/71225.Finally, GCF of Fractions for 684/925, 708/385 is 12/71225.