Greatest Common Factor of 814/223, 8408/9657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 814/223, 8408/9657

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 814/223,8408/9657

Given fractions are 814/223,8408/9657

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 814,8408

Greatest Common Factor of Numerators i.e. GCF of 814,8408 is 2 .

LCM of Denominators means LCM of 223,9657 as per the given fractions.

LCM of 223,9657 is 2153511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 814,8408

GCF of Fractions 814/223,8408/9657 is 2/2153511

2 814, 8408
407, 4204

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

Greatest Common Factor of 814,8408 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,8408 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 8408

List of positive integer factors of 8408 that divides 8408 without a remainder.

1,2,4,8,1051,2102,4204,8408

Greatest Common Factor

We found the factors 814,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 814,8408 is 2.

Lets's calculate LCM of 223,9657

Given numbers has no common factors except 1. So, there LCM is their product i.e 2153511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2153511

Therefore, the GCF of Fractions 814/223,8408/9657 is 2/2153511

Least Common Multiple of 223,9657 with GCF Formula

Least Common Multiple of 223,9657 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 223,9657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,9657) = 1

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

GCF(223,9657) x common factors =1 x 1 = 1

LCM(223,9657) = ( 223 × 9657 ) / 1

LCM(223,9657) = 2153511 / 1

LCM(223,9657) = 2153511


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 814/223, 8408/9657

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 814/223, 8408/9657?

Answer: GCF of Numerators as per given numbers 814/223, 8408/9657 is

GCF of Numerators i.e. for 814,8408 is 2

LCM of denominators i.e. for 223,9657 is 2153511.

Thus, GCF of Fractions is 2/2153511.Finally, GCF of Fractions for 814/223, 8408/9657 is 2/2153511.