Greatest Common Factor of 664/70, 351/18, 290/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 664/70, 351/18, 290/832

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 664/70,351/18,290/832

Given fractions are 664/70,351/18,290/832

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 664,351,290

Greatest Common Factor of Numerators i.e. GCF of 664,351,290 is 1 .

LCM of Denominators means LCM of 70,18,832 as per the given fractions.

LCM of 70,18,832 is 262080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 664,351,290

GCF of Fractions 664/70,351/18,290/832 is 1/262080

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

Greatest Common Factor of 664,351,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,351,290 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 664,351,290 . The biggest common factor number is the GCF number.
So the greatest common factor 664,351,290 is 1.

Lets's calculate LCM of 70,18,832

2 70, 18, 832
35, 9, 416

∴ So the LCM of the given numbers is 2 x 35 x 9 x 416 = 262080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262080

Therefore, the GCF of Fractions 664/70,351/18,290/832 is 1/262080

Least Common Multiple of 70,18,832 with GCF Formula

Least Common Multiple of 70,18,832 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 70,18,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,18,832) = 2

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

GCF(70,18,832) x common factors =2 x 2 = 4

LCM(70,18,832) = ( 70 × 18 × 832 ) / 4

LCM(70,18,832) = 1048320 / 4

LCM(70,18,832) = 262080


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 664/70, 351/18, 290/832

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 664/70, 351/18, 290/832?

Answer: GCF of Numerators as per given numbers 664/70, 351/18, 290/832 is

GCF of Numerators i.e. for 664,351,290 is 1

LCM of denominators i.e. for 70,18,832 is 262080.

Thus, GCF of Fractions is 1/262080.Finally, GCF of Fractions for 664/70, 351/18, 290/832 is 1/262080.