Greatest Common Factor of 390/568, 763/548, 361/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/568, 763/548, 361/148

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 390/568,763/548,361/148

Given fractions are 390/568,763/548,361/148

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 390,763,361

Greatest Common Factor of Numerators i.e. GCF of 390,763,361 is 1 .

LCM of Denominators means LCM of 568,548,148 as per the given fractions.

LCM of 568,548,148 is 2879192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,763,361

GCF of Fractions 390/568,763/548,361/148 is 1/2879192

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

Greatest Common Factor of 390,763,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,763,361 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 390,763,361 . The biggest common factor number is the GCF number.
So the greatest common factor 390,763,361 is 1.

Lets's calculate LCM of 568,548,148

2 568, 548, 148
2 284, 274, 74
142, 137, 37

∴ So the LCM of the given numbers is 2 x 2 x 142 x 137 x 37 = 2879192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2879192

Therefore, the GCF of Fractions 390/568,763/548,361/148 is 1/2879192

Least Common Multiple of 568,548,148 with GCF Formula

Least Common Multiple of 568,548,148 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 568,548,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,548,148) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(568,548,148) x common factors =4 x 4 = 16

LCM(568,548,148) = ( 568 × 548 × 148 ) / 16

LCM(568,548,148) = 46067072 / 16

LCM(568,548,148) = 2879192


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 390/568, 763/548, 361/148

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 390/568, 763/548, 361/148?

Answer: GCF of Numerators as per given numbers 390/568, 763/548, 361/148 is

GCF of Numerators i.e. for 390,763,361 is 1

LCM of denominators i.e. for 568,548,148 is 2879192.

Thus, GCF of Fractions is 1/2879192.Finally, GCF of Fractions for 390/568, 763/548, 361/148 is 1/2879192.