Greatest Common Factor of 369/553, 8612/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 369/553, 8612/316

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 369/553,8612/316

Given fractions are 369/553,8612/316

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 369,8612

Greatest Common Factor of Numerators i.e. GCF of 369,8612 is 1 .

LCM of Denominators means LCM of 553,316 as per the given fractions.

LCM of 553,316 is 2212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 369,8612

GCF of Fractions 369/553,8612/316 is 1/2212

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 369,8612 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,8612 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 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1,2,4,2153,4306,8612

Greatest Common Factor

We found the factors 369,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 369,8612 is 1.

Lets's calculate LCM of 553,316

79 553, 316
7, 4

∴ So the LCM of the given numbers is 79 x 7 x 4 = 2212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2212

Therefore, the GCF of Fractions 369/553,8612/316 is 1/2212

Least Common Multiple of 553,316 with GCF Formula

Least Common Multiple of 553,316 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 553,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,316) = 79

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

GCF(553,316) x common factors =79 x 1 = 79

LCM(553,316) = ( 553 × 316 ) / 79

LCM(553,316) = 174748 / 79

LCM(553,316) = 2212


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 369/553, 8612/316

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 369/553, 8612/316?

Answer: GCF of Numerators as per given numbers 369/553, 8612/316 is

GCF of Numerators i.e. for 369,8612 is 1

LCM of denominators i.e. for 553,316 is 2212.

Thus, GCF of Fractions is 1/2212.Finally, GCF of Fractions for 369/553, 8612/316 is 1/2212.