Greatest Common Factor of 685/231, 492/154, 828/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/231, 492/154, 828/257

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 685/231,492/154,828/257

Given fractions are 685/231,492/154,828/257

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 685,492,828

Greatest Common Factor of Numerators i.e. GCF of 685,492,828 is 1 .

LCM of Denominators means LCM of 231,154,257 as per the given fractions.

LCM of 231,154,257 is 118734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,492,828

GCF of Fractions 685/231,492/154,828/257 is 1/118734

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

Greatest Common Factor of 685,492,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,492,828 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 685,492,828 . The biggest common factor number is the GCF number.
So the greatest common factor 685,492,828 is 1.

Lets's calculate LCM of 231,154,257

7 231, 154, 257
11 33, 22, 257
3, 2, 257

∴ So the LCM of the given numbers is 7 x 11 x 3 x 2 x 257 = 118734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118734

Therefore, the GCF of Fractions 685/231,492/154,828/257 is 1/118734

Least Common Multiple of 231,154,257 with GCF Formula

Least Common Multiple of 231,154,257 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 231,154,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,154,257) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(231,154,257) x common factors =1 x 77 = 77

LCM(231,154,257) = ( 231 × 154 × 257 ) / 77

LCM(231,154,257) = 9142518 / 77

LCM(231,154,257) = 118734


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 685/231, 492/154, 828/257

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 685/231, 492/154, 828/257?

Answer: GCF of Numerators as per given numbers 685/231, 492/154, 828/257 is

GCF of Numerators i.e. for 685,492,828 is 1

LCM of denominators i.e. for 231,154,257 is 118734.

Thus, GCF of Fractions is 1/118734.Finally, GCF of Fractions for 685/231, 492/154, 828/257 is 1/118734.