Greatest Common Factor of 380/583, 5444/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/583, 5444/716

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 380/583,5444/716

Given fractions are 380/583,5444/716

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 380,5444

Greatest Common Factor of Numerators i.e. GCF of 380,5444 is 4 .

LCM of Denominators means LCM of 583,716 as per the given fractions.

LCM of 583,716 is 417428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,5444

GCF of Fractions 380/583,5444/716 is 4/417428

2 380, 5444
2 190, 2722
95, 1361

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 380,5444 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,5444 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 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1,2,4,1361,2722,5444

Greatest Common Factor

We found the factors 380,5444 . The biggest common factor number is the GCF number.
So the greatest common factor 380,5444 is 4.

Lets's calculate LCM of 583,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 417428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/417428

Therefore, the GCF of Fractions 380/583,5444/716 is 4/417428

Least Common Multiple of 583,716 with GCF Formula

Least Common Multiple of 583,716 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 583,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,716) = 1

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

GCF(583,716) x common factors =1 x 1 = 1

LCM(583,716) = ( 583 × 716 ) / 1

LCM(583,716) = 417428 / 1

LCM(583,716) = 417428


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 380/583, 5444/716

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 380/583, 5444/716?

Answer: GCF of Numerators as per given numbers 380/583, 5444/716 is

GCF of Numerators i.e. for 380,5444 is 4

LCM of denominators i.e. for 583,716 is 417428.

Thus, GCF of Fractions is 4/417428.Finally, GCF of Fractions for 380/583, 5444/716 is 4/417428.