Greatest Common Factor of 438/23, 683/70, 626/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/23, 683/70, 626/32

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 438/23,683/70,626/32

Given fractions are 438/23,683/70,626/32

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 438,683,626

Greatest Common Factor of Numerators i.e. GCF of 438,683,626 is 1 .

LCM of Denominators means LCM of 23,70,32 as per the given fractions.

LCM of 23,70,32 is 25760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,683,626

GCF of Fractions 438/23,683/70,626/32 is 1/25760

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

Greatest Common Factor of 438,683,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,683,626 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 438,683,626 . The biggest common factor number is the GCF number.
So the greatest common factor 438,683,626 is 1.

Lets's calculate LCM of 23,70,32

2 23, 70, 32
23, 35, 16

∴ So the LCM of the given numbers is 2 x 23 x 35 x 16 = 25760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25760

Therefore, the GCF of Fractions 438/23,683/70,626/32 is 1/25760

Least Common Multiple of 23,70,32 with GCF Formula

Least Common Multiple of 23,70,32 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 23,70,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,70,32) = 1

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

GCF(23,70,32) x common factors =1 x 2 = 2

LCM(23,70,32) = ( 23 × 70 × 32 ) / 2

LCM(23,70,32) = 51520 / 2

LCM(23,70,32) = 25760


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 438/23, 683/70, 626/32

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 438/23, 683/70, 626/32?

Answer: GCF of Numerators as per given numbers 438/23, 683/70, 626/32 is

GCF of Numerators i.e. for 438,683,626 is 1

LCM of denominators i.e. for 23,70,32 is 25760.

Thus, GCF of Fractions is 1/25760.Finally, GCF of Fractions for 438/23, 683/70, 626/32 is 1/25760.