Greatest Common Factor of 406/476, 8352/1742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/476, 8352/1742

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 406/476,8352/1742

Given fractions are 406/476,8352/1742

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 406,8352

Greatest Common Factor of Numerators i.e. GCF of 406,8352 is 58 .

LCM of Denominators means LCM of 476,1742 as per the given fractions.

LCM of 476,1742 is 414596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,8352

GCF of Fractions 406/476,8352/1742 is 58/414596

2 406, 8352
29 203, 4176
7, 144

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 406,8352 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,8352 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 8352

List of positive integer factors of 8352 that divides 8352 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,32,36,48,58,72,87,96,116,144,174,232,261,288,348,464,522,696,928,1044,1392,2088,2784,4176,8352

Greatest Common Factor

We found the factors 406,8352 . The biggest common factor number is the GCF number.
So the greatest common factor 406,8352 is 58.

Lets's calculate LCM of 476,1742

2 476, 1742
238, 871

∴ So the LCM of the given numbers is 2 x 238 x 871 = 414596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/414596

Therefore, the GCF of Fractions 406/476,8352/1742 is 58/414596

Least Common Multiple of 476,1742 with GCF Formula

Least Common Multiple of 476,1742 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 476,1742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,1742) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(476,1742) x common factors =2 x 1 = 2

LCM(476,1742) = ( 476 × 1742 ) / 2

LCM(476,1742) = 829192 / 2

LCM(476,1742) = 414596


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 406/476, 8352/1742

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 406/476, 8352/1742?

Answer: GCF of Numerators as per given numbers 406/476, 8352/1742 is

GCF of Numerators i.e. for 406,8352 is 58

LCM of denominators i.e. for 476,1742 is 414596.

Thus, GCF of Fractions is 58/414596.Finally, GCF of Fractions for 406/476, 8352/1742 is 58/414596.