Greatest Common Factor of 380/85, 582/64, 772/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/85, 582/64, 772/165

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 380/85,582/64,772/165

Given fractions are 380/85,582/64,772/165

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 380,582,772

Greatest Common Factor of Numerators i.e. GCF of 380,582,772 is 2 .

LCM of Denominators means LCM of 85,64,165 as per the given fractions.

LCM of 85,64,165 is 179520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,582,772

GCF of Fractions 380/85,582/64,772/165 is 2/179520

2 380, 582, 772
190, 291, 386

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

Greatest Common Factor of 380,582,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,582,772 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 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 380,582,772 . The biggest common factor number is the GCF number.
So the greatest common factor 380,582,772 is 2.

Lets's calculate LCM of 85,64,165

5 85, 64, 165
17, 64, 33

∴ So the LCM of the given numbers is 5 x 17 x 64 x 33 = 179520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179520

Therefore, the GCF of Fractions 380/85,582/64,772/165 is 2/179520

Least Common Multiple of 85,64,165 with GCF Formula

Least Common Multiple of 85,64,165 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 85,64,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,64,165) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,64,165) x common factors =1 x 5 = 5

LCM(85,64,165) = ( 85 × 64 × 165 ) / 5

LCM(85,64,165) = 897600 / 5

LCM(85,64,165) = 179520


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 380/85, 582/64, 772/165

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 380/85, 582/64, 772/165?

Answer: GCF of Numerators as per given numbers 380/85, 582/64, 772/165 is

GCF of Numerators i.e. for 380,582,772 is 2

LCM of denominators i.e. for 85,64,165 is 179520.

Thus, GCF of Fractions is 2/179520.Finally, GCF of Fractions for 380/85, 582/64, 772/165 is 2/179520.