Greatest Common Factor of 3734/235, 9024/8177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3734/235, 9024/8177

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 3734/235,9024/8177

Given fractions are 3734/235,9024/8177

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 3734,9024

Greatest Common Factor of Numerators i.e. GCF of 3734,9024 is 2 .

LCM of Denominators means LCM of 235,8177 as per the given fractions.

LCM of 235,8177 is 1921595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3734,9024

GCF of Fractions 3734/235,9024/8177 is 2/1921595

2 3734, 9024
1867, 4512

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

Greatest Common Factor of 3734,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 3734,9024 By Matching Biggest Common Factor Method

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 3734,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 3734,9024 is 2.

Lets's calculate LCM of 235,8177

Given numbers has no common factors except 1. So, there LCM is their product i.e 1921595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1921595

Therefore, the GCF of Fractions 3734/235,9024/8177 is 2/1921595

Least Common Multiple of 235,8177 with GCF Formula

Least Common Multiple of 235,8177 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 235,8177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,8177) = 1

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

GCF(235,8177) x common factors =1 x 1 = 1

LCM(235,8177) = ( 235 × 8177 ) / 1

LCM(235,8177) = 1921595 / 1

LCM(235,8177) = 1921595


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 3734/235, 9024/8177

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 3734/235, 9024/8177?

Answer: GCF of Numerators as per given numbers 3734/235, 9024/8177 is

GCF of Numerators i.e. for 3734,9024 is 2

LCM of denominators i.e. for 235,8177 is 1921595.

Thus, GCF of Fractions is 2/1921595.Finally, GCF of Fractions for 3734/235, 9024/8177 is 2/1921595.