Greatest Common Factor of 9674/904, 4288/8185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9674/904, 4288/8185

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 9674/904,4288/8185

Given fractions are 9674/904,4288/8185

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 9674,4288

Greatest Common Factor of Numerators i.e. GCF of 9674,4288 is 2 .

LCM of Denominators means LCM of 904,8185 as per the given fractions.

LCM of 904,8185 is 7399240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9674,4288

GCF of Fractions 9674/904,4288/8185 is 2/7399240

2 9674, 4288
4837, 2144

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

Greatest Common Factor of 9674,4288 By Matching Biggest Common Factor Method

Greatest Common Factor of 9674,4288 By Matching Biggest Common Factor Method

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1,2,7,14,691,1382,4837,9674

Factors of 4288

List of positive integer factors of 4288 that divides 4288 without a remainder.

1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288

Greatest Common Factor

We found the factors 9674,4288 . The biggest common factor number is the GCF number.
So the greatest common factor 9674,4288 is 2.

Lets's calculate LCM of 904,8185

Given numbers has no common factors except 1. So, there LCM is their product i.e 7399240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7399240

Therefore, the GCF of Fractions 9674/904,4288/8185 is 2/7399240

Least Common Multiple of 904,8185 with GCF Formula

Least Common Multiple of 904,8185 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 904,8185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,8185) = 1

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

GCF(904,8185) x common factors =1 x 1 = 1

LCM(904,8185) = ( 904 × 8185 ) / 1

LCM(904,8185) = 7399240 / 1

LCM(904,8185) = 7399240


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 9674/904, 4288/8185

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 9674/904, 4288/8185?

Answer: GCF of Numerators as per given numbers 9674/904, 4288/8185 is

GCF of Numerators i.e. for 9674,4288 is 2

LCM of denominators i.e. for 904,8185 is 7399240.

Thus, GCF of Fractions is 2/7399240.Finally, GCF of Fractions for 9674/904, 4288/8185 is 2/7399240.