Greatest Common Factor of 20/526, 350/448, 390/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/526, 350/448, 390/149

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 20/526,350/448,390/149

Given fractions are 20/526,350/448,390/149

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 20,350,390

Greatest Common Factor of Numerators i.e. GCF of 20,350,390 is 10 .

LCM of Denominators means LCM of 526,448,149 as per the given fractions.

LCM of 526,448,149 is 17555776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,350,390

GCF of Fractions 20/526,350/448,390/149 is 10/17555776

2 20, 350, 390
5 10, 175, 195
2, 35, 39

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,350,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,350,390 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

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

Greatest Common Factor

We found the factors 20,350,390 . The biggest common factor number is the GCF number.
So the greatest common factor 20,350,390 is 10.

Lets's calculate LCM of 526,448,149

2 526, 448, 149
263, 224, 149

∴ So the LCM of the given numbers is 2 x 263 x 224 x 149 = 17555776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/17555776

Therefore, the GCF of Fractions 20/526,350/448,390/149 is 10/17555776

Least Common Multiple of 526,448,149 with GCF Formula

Least Common Multiple of 526,448,149 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 526,448,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,448,149) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(526,448,149) x common factors =1 x 2 = 2

LCM(526,448,149) = ( 526 × 448 × 149 ) / 2

LCM(526,448,149) = 35111552 / 2

LCM(526,448,149) = 17555776


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 20/526, 350/448, 390/149

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 20/526, 350/448, 390/149?

Answer: GCF of Numerators as per given numbers 20/526, 350/448, 390/149 is

GCF of Numerators i.e. for 20,350,390 is 10

LCM of denominators i.e. for 526,448,149 is 17555776.

Thus, GCF of Fractions is 10/17555776.Finally, GCF of Fractions for 20/526, 350/448, 390/149 is 10/17555776.