Greatest Common Factor of 38/424, 34/722, 784/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/424, 34/722, 784/668

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 38/424,34/722,784/668

Given fractions are 38/424,34/722,784/668

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 38,34,784

Greatest Common Factor of Numerators i.e. GCF of 38,34,784 is 2 .

LCM of Denominators means LCM of 424,722,668 as per the given fractions.

LCM of 424,722,668 is 25561688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,34,784

GCF of Fractions 38/424,34/722,784/668 is 2/25561688

2 38, 34, 784
19, 17, 392

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,34,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,34,784 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 38,34,784 . The biggest common factor number is the GCF number.
So the greatest common factor 38,34,784 is 2.

Lets's calculate LCM of 424,722,668

2 424, 722, 668
2 212, 361, 334
106, 361, 167

∴ So the LCM of the given numbers is 2 x 2 x 106 x 361 x 167 = 25561688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25561688

Therefore, the GCF of Fractions 38/424,34/722,784/668 is 2/25561688

Least Common Multiple of 424,722,668 with GCF Formula

Least Common Multiple of 424,722,668 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 424,722,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,722,668) = 2

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

GCF(424,722,668) x common factors =2 x 4 = 8

LCM(424,722,668) = ( 424 × 722 × 668 ) / 8

LCM(424,722,668) = 204493504 / 8

LCM(424,722,668) = 25561688


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 38/424, 34/722, 784/668

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 38/424, 34/722, 784/668?

Answer: GCF of Numerators as per given numbers 38/424, 34/722, 784/668 is

GCF of Numerators i.e. for 38,34,784 is 2

LCM of denominators i.e. for 424,722,668 is 25561688.

Thus, GCF of Fractions is 2/25561688.Finally, GCF of Fractions for 38/424, 34/722, 784/668 is 2/25561688.