Greatest Common Factor of 206/46, 442/39, 925/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/46, 442/39, 925/472

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 206/46,442/39,925/472

Given fractions are 206/46,442/39,925/472

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 206,442,925

Greatest Common Factor of Numerators i.e. GCF of 206,442,925 is 1 .

LCM of Denominators means LCM of 46,39,472 as per the given fractions.

LCM of 46,39,472 is 423384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,442,925

GCF of Fractions 206/46,442/39,925/472 is 1/423384

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

Greatest Common Factor of 206,442,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,442,925 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 206,442,925 . The biggest common factor number is the GCF number.
So the greatest common factor 206,442,925 is 1.

Lets's calculate LCM of 46,39,472

2 46, 39, 472
23, 39, 236

∴ So the LCM of the given numbers is 2 x 23 x 39 x 236 = 423384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423384

Therefore, the GCF of Fractions 206/46,442/39,925/472 is 1/423384

Least Common Multiple of 46,39,472 with GCF Formula

Least Common Multiple of 46,39,472 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 46,39,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,39,472) = 1

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

GCF(46,39,472) x common factors =1 x 2 = 2

LCM(46,39,472) = ( 46 × 39 × 472 ) / 2

LCM(46,39,472) = 846768 / 2

LCM(46,39,472) = 423384


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 206/46, 442/39, 925/472

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 206/46, 442/39, 925/472?

Answer: GCF of Numerators as per given numbers 206/46, 442/39, 925/472 is

GCF of Numerators i.e. for 206,442,925 is 1

LCM of denominators i.e. for 46,39,472 is 423384.

Thus, GCF of Fractions is 1/423384.Finally, GCF of Fractions for 206/46, 442/39, 925/472 is 1/423384.