Greatest Common Factor of 388/649, 810/659, 217/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/649, 810/659, 217/935

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 388/649,810/659,217/935

Given fractions are 388/649,810/659,217/935

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 388,810,217

Greatest Common Factor of Numerators i.e. GCF of 388,810,217 is 1 .

LCM of Denominators means LCM of 649,659,935 as per the given fractions.

LCM of 649,659,935 is 36353735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,810,217

GCF of Fractions 388/649,810/659,217/935 is 1/36353735

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

Greatest Common Factor of 388,810,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,810,217 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 388,810,217 . The biggest common factor number is the GCF number.
So the greatest common factor 388,810,217 is 1.

Lets's calculate LCM of 649,659,935

11 649, 659, 935
59, 659, 85

∴ So the LCM of the given numbers is 11 x 59 x 659 x 85 = 36353735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36353735

Therefore, the GCF of Fractions 388/649,810/659,217/935 is 1/36353735

Least Common Multiple of 649,659,935 with GCF Formula

Least Common Multiple of 649,659,935 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 649,659,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,659,935) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(649,659,935) x common factors =1 x 11 = 11

LCM(649,659,935) = ( 649 × 659 × 935 ) / 11

LCM(649,659,935) = 399891085 / 11

LCM(649,659,935) = 36353735


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 388/649, 810/659, 217/935

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 388/649, 810/659, 217/935?

Answer: GCF of Numerators as per given numbers 388/649, 810/659, 217/935 is

GCF of Numerators i.e. for 388,810,217 is 1

LCM of denominators i.e. for 649,659,935 is 36353735.

Thus, GCF of Fractions is 1/36353735.Finally, GCF of Fractions for 388/649, 810/659, 217/935 is 1/36353735.