Greatest Common Factor of 220/355, 5467/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/355, 5467/301

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 220/355,5467/301

Given fractions are 220/355,5467/301

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 220,5467

Greatest Common Factor of Numerators i.e. GCF of 220,5467 is 11 .

LCM of Denominators means LCM of 355,301 as per the given fractions.

LCM of 355,301 is 106855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,5467

GCF of Fractions 220/355,5467/301 is 11/106855

11 220, 5467
20, 497

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 220,5467 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,5467 By Matching Biggest Common Factor Method

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 5467

List of positive integer factors of 5467 that divides 5467 without a remainder.

1,7,11,71,77,497,781,5467

Greatest Common Factor

We found the factors 220,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 220,5467 is 11.

Lets's calculate LCM of 355,301

Given numbers has no common factors except 1. So, there LCM is their product i.e 106855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/106855

Therefore, the GCF of Fractions 220/355,5467/301 is 11/106855

Least Common Multiple of 355,301 with GCF Formula

Least Common Multiple of 355,301 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 355,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,301) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(355,301) x common factors =1 x 1 = 1

LCM(355,301) = ( 355 × 301 ) / 1

LCM(355,301) = 106855 / 1

LCM(355,301) = 106855


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 220/355, 5467/301

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 220/355, 5467/301?

Answer: GCF of Numerators as per given numbers 220/355, 5467/301 is

GCF of Numerators i.e. for 220,5467 is 11

LCM of denominators i.e. for 355,301 is 106855.

Thus, GCF of Fractions is 11/106855.Finally, GCF of Fractions for 220/355, 5467/301 is 11/106855.