Greatest Common Factor of 254/93, 220/14, 212/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/93, 220/14, 212/155

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 254/93,220/14,212/155

Given fractions are 254/93,220/14,212/155

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 254,220,212

Greatest Common Factor of Numerators i.e. GCF of 254,220,212 is 2 .

LCM of Denominators means LCM of 93,14,155 as per the given fractions.

LCM of 93,14,155 is 6510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,220,212

GCF of Fractions 254/93,220/14,212/155 is 2/6510

2 254, 220, 212
127, 110, 106

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

Greatest Common Factor of 254,220,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,220,212 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 254,220,212 . The biggest common factor number is the GCF number.
So the greatest common factor 254,220,212 is 2.

Lets's calculate LCM of 93,14,155

31 93, 14, 155
3, 14, 5

∴ So the LCM of the given numbers is 31 x 3 x 14 x 5 = 6510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6510

Therefore, the GCF of Fractions 254/93,220/14,212/155 is 2/6510

Least Common Multiple of 93,14,155 with GCF Formula

Least Common Multiple of 93,14,155 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 93,14,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,14,155) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(93,14,155) x common factors =1 x 31 = 31

LCM(93,14,155) = ( 93 × 14 × 155 ) / 31

LCM(93,14,155) = 201810 / 31

LCM(93,14,155) = 6510


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 254/93, 220/14, 212/155

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 254/93, 220/14, 212/155?

Answer: GCF of Numerators as per given numbers 254/93, 220/14, 212/155 is

GCF of Numerators i.e. for 254,220,212 is 2

LCM of denominators i.e. for 93,14,155 is 6510.

Thus, GCF of Fractions is 2/6510.Finally, GCF of Fractions for 254/93, 220/14, 212/155 is 2/6510.