Greatest Common Factor of 32/86, 426/14, 376/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/86, 426/14, 376/207

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 32/86,426/14,376/207

Given fractions are 32/86,426/14,376/207

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 32,426,376

Greatest Common Factor of Numerators i.e. GCF of 32,426,376 is 2 .

LCM of Denominators means LCM of 86,14,207 as per the given fractions.

LCM of 86,14,207 is 124614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,426,376

GCF of Fractions 32/86,426/14,376/207 is 2/124614

2 32, 426, 376
16, 213, 188

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 32,426,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,426,376 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 32,426,376 . The biggest common factor number is the GCF number.
So the greatest common factor 32,426,376 is 2.

Lets's calculate LCM of 86,14,207

2 86, 14, 207
43, 7, 207

∴ So the LCM of the given numbers is 2 x 43 x 7 x 207 = 124614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124614

Therefore, the GCF of Fractions 32/86,426/14,376/207 is 2/124614

Least Common Multiple of 86,14,207 with GCF Formula

Least Common Multiple of 86,14,207 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 86,14,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,14,207) = 1

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

GCF(86,14,207) x common factors =1 x 2 = 2

LCM(86,14,207) = ( 86 × 14 × 207 ) / 2

LCM(86,14,207) = 249228 / 2

LCM(86,14,207) = 124614


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 32/86, 426/14, 376/207

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 32/86, 426/14, 376/207?

Answer: GCF of Numerators as per given numbers 32/86, 426/14, 376/207 is

GCF of Numerators i.e. for 32,426,376 is 2

LCM of denominators i.e. for 86,14,207 is 124614.

Thus, GCF of Fractions is 2/124614.Finally, GCF of Fractions for 32/86, 426/14, 376/207 is 2/124614.