Greatest Common Factor of 369/111, 8856/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 369/111, 8856/466

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 369/111,8856/466

Given fractions are 369/111,8856/466

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 369,8856

Greatest Common Factor of Numerators i.e. GCF of 369,8856 is 369 .

LCM of Denominators means LCM of 111,466 as per the given fractions.

LCM of 111,466 is 51726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,8856

GCF of Fractions 369/111,8856/466 is 369/51726

3 369, 8856
3 123, 2952
41 41, 984
1, 24

∴ So the GCF of the given numbers is 3 x 3 x 41 = 369

Greatest Common Factor of 369,8856 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,8856 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Greatest Common Factor

We found the factors 369,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 369,8856 is 369.


Lets's calculate LCM of 111,466

Given numbers has no common factors except 1. So, there LCM is their product i.e 51726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 369/51726

Therefore, the GCF of Fractions 369/111,8856/466 is 369/51726

Least Common Multiple of 111,466 with GCF Formula

Least Common Multiple of 111,466 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 111,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,466) = 1

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

GCF(111,466) x common factors =1 x 1 = 1

LCM(111,466) = ( 111 × 466 ) / 1

LCM(111,466) = 51726 / 1

LCM(111,466) = 51726


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 369/111, 8856/466

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 369/111, 8856/466?

Answer: GCF of Numerators as per given numbers 369/111, 8856/466 is

GCF of Numerators i.e. for 369,8856 is 369

LCM of denominators i.e. for 111,466 is 51726.

Thus, GCF of Fractions is 369/51726.Finally, GCF of Fractions for 369/111, 8856/466 is 369/51726.