Greatest Common Factor of 86/22, 12/44, 488/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/22, 12/44, 488/145

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 86/22,12/44,488/145

Given fractions are 86/22,12/44,488/145

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 86,12,488

Greatest Common Factor of Numerators i.e. GCF of 86,12,488 is 2 .

LCM of Denominators means LCM of 22,44,145 as per the given fractions.

LCM of 22,44,145 is 6380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,12,488

GCF of Fractions 86/22,12/44,488/145 is 2/6380

2 86, 12, 488
43, 6, 244

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

Greatest Common Factor of 86,12,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,12,488 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 86,12,488 . The biggest common factor number is the GCF number.
So the greatest common factor 86,12,488 is 2.

Lets's calculate LCM of 22,44,145

2 22, 44, 145
11 11, 22, 145
1, 2, 145

∴ So the LCM of the given numbers is 2 x 11 x 1 x 2 x 145 = 6380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6380

Therefore, the GCF of Fractions 86/22,12/44,488/145 is 2/6380

Least Common Multiple of 22,44,145 with GCF Formula

Least Common Multiple of 22,44,145 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 22,44,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,44,145) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,44,145) x common factors =1 x 22 = 22

LCM(22,44,145) = ( 22 × 44 × 145 ) / 22

LCM(22,44,145) = 140360 / 22

LCM(22,44,145) = 6380


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 86/22, 12/44, 488/145

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 86/22, 12/44, 488/145?

Answer: GCF of Numerators as per given numbers 86/22, 12/44, 488/145 is

GCF of Numerators i.e. for 86,12,488 is 2

LCM of denominators i.e. for 22,44,145 is 6380.

Thus, GCF of Fractions is 2/6380.Finally, GCF of Fractions for 86/22, 12/44, 488/145 is 2/6380.