Greatest Common Factor of 9704/696, 9466/8444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9704/696, 9466/8444

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 9704/696,9466/8444

Given fractions are 9704/696,9466/8444

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 9704,9466

Greatest Common Factor of Numerators i.e. GCF of 9704,9466 is 2 .

LCM of Denominators means LCM of 696,8444 as per the given fractions.

LCM of 696,8444 is 1469256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9704,9466

GCF of Fractions 9704/696,9466/8444 is 2/1469256

2 9704, 9466
4852, 4733

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

Greatest Common Factor of 9704,9466 By Matching Biggest Common Factor Method

Greatest Common Factor of 9704,9466 By Matching Biggest Common Factor Method

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1,2,4,8,1213,2426,4852,9704

Factors of 9466

List of positive integer factors of 9466 that divides 9466 without a remainder.

1,2,4733,9466

Greatest Common Factor

We found the factors 9704,9466 . The biggest common factor number is the GCF number.
So the greatest common factor 9704,9466 is 2.

Lets's calculate LCM of 696,8444

2 696, 8444
2 348, 4222
174, 2111

∴ So the LCM of the given numbers is 2 x 2 x 174 x 2111 = 1469256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1469256

Therefore, the GCF of Fractions 9704/696,9466/8444 is 2/1469256

Least Common Multiple of 696,8444 with GCF Formula

Least Common Multiple of 696,8444 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 696,8444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,8444) = 4

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

GCF(696,8444) x common factors =4 x 1 = 4

LCM(696,8444) = ( 696 × 8444 ) / 4

LCM(696,8444) = 5877024 / 4

LCM(696,8444) = 1469256


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 9704/696, 9466/8444

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 9704/696, 9466/8444?

Answer: GCF of Numerators as per given numbers 9704/696, 9466/8444 is

GCF of Numerators i.e. for 9704,9466 is 2

LCM of denominators i.e. for 696,8444 is 1469256.

Thus, GCF of Fractions is 2/1469256.Finally, GCF of Fractions for 9704/696, 9466/8444 is 2/1469256.