Greatest Common Factor of 8924/329, 3696/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8924/329, 3696/855

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 8924/329,3696/855

Given fractions are 8924/329,3696/855

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 8924,3696

Greatest Common Factor of Numerators i.e. GCF of 8924,3696 is 4 .

LCM of Denominators means LCM of 329,855 as per the given fractions.

LCM of 329,855 is 281295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8924,3696

GCF of Fractions 8924/329,3696/855 is 4/281295

2 8924, 3696
2 4462, 1848
2231, 924

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8924,3696 By Matching Biggest Common Factor Method

Greatest Common Factor of 8924,3696 By Matching Biggest Common Factor Method

Factors of 8924

List of positive integer factors of 8924 that divides 8924 without a remainder.

1,2,4,23,46,92,97,194,388,2231,4462,8924

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Greatest Common Factor

We found the factors 8924,3696 . The biggest common factor number is the GCF number.
So the greatest common factor 8924,3696 is 4.

Lets's calculate LCM of 329,855

Given numbers has no common factors except 1. So, there LCM is their product i.e 281295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/281295

Therefore, the GCF of Fractions 8924/329,3696/855 is 4/281295

Least Common Multiple of 329,855 with GCF Formula

Least Common Multiple of 329,855 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 329,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,855) = 1

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

GCF(329,855) x common factors =1 x 1 = 1

LCM(329,855) = ( 329 × 855 ) / 1

LCM(329,855) = 281295 / 1

LCM(329,855) = 281295


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 8924/329, 3696/855

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 8924/329, 3696/855?

Answer: GCF of Numerators as per given numbers 8924/329, 3696/855 is

GCF of Numerators i.e. for 8924,3696 is 4

LCM of denominators i.e. for 329,855 is 281295.

Thus, GCF of Fractions is 4/281295.Finally, GCF of Fractions for 8924/329, 3696/855 is 4/281295.