Greatest Common Factor of 380/28, 978/56, 221/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/28, 978/56, 221/133

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 380/28,978/56,221/133

Given fractions are 380/28,978/56,221/133

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 380,978,221

Greatest Common Factor of Numerators i.e. GCF of 380,978,221 is 1 .

LCM of Denominators means LCM of 28,56,133 as per the given fractions.

LCM of 28,56,133 is 1064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,978,221

GCF of Fractions 380/28,978/56,221/133 is 1/1064

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

Greatest Common Factor of 380,978,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,978,221 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 380,978,221 . The biggest common factor number is the GCF number.
So the greatest common factor 380,978,221 is 1.

Lets's calculate LCM of 28,56,133

2 28, 56, 133
2 14, 28, 133
7 7, 14, 133
1, 2, 19

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 2 x 19 = 1064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064

Therefore, the GCF of Fractions 380/28,978/56,221/133 is 1/1064

Least Common Multiple of 28,56,133 with GCF Formula

Least Common Multiple of 28,56,133 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 28,56,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,56,133) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(28,56,133) x common factors =7 x 28 = 196

LCM(28,56,133) = ( 28 × 56 × 133 ) / 196

LCM(28,56,133) = 208544 / 196

LCM(28,56,133) = 1064


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 380/28, 978/56, 221/133

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 380/28, 978/56, 221/133?

Answer: GCF of Numerators as per given numbers 380/28, 978/56, 221/133 is

GCF of Numerators i.e. for 380,978,221 is 1

LCM of denominators i.e. for 28,56,133 is 1064.

Thus, GCF of Fractions is 1/1064.Finally, GCF of Fractions for 380/28, 978/56, 221/133 is 1/1064.