Greatest Common Factor of 3618/474, 1369/1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3618/474, 1369/1362

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 3618/474,1369/1362

Given fractions are 3618/474,1369/1362

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 3618,1369

Greatest Common Factor of Numerators i.e. GCF of 3618,1369 is 1 .

LCM of Denominators means LCM of 474,1362 as per the given fractions.

LCM of 474,1362 is 107598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3618,1369

GCF of Fractions 3618/474,1369/1362 is 1/107598

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

Greatest Common Factor of 3618,1369 By Matching Biggest Common Factor Method

Greatest Common Factor of 3618,1369 By Matching Biggest Common Factor Method

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors 3618,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 3618,1369 is 1.

Lets's calculate LCM of 474,1362

2 474, 1362
3 237, 681
79, 227

∴ So the LCM of the given numbers is 2 x 3 x 79 x 227 = 107598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107598

Therefore, the GCF of Fractions 3618/474,1369/1362 is 1/107598

Least Common Multiple of 474,1362 with GCF Formula

Least Common Multiple of 474,1362 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 474,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,1362) = 6

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

GCF(474,1362) x common factors =6 x 1 = 6

LCM(474,1362) = ( 474 × 1362 ) / 6

LCM(474,1362) = 645588 / 6

LCM(474,1362) = 107598


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3618/474, 1369/1362

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 3618/474, 1369/1362?

Answer: GCF of Numerators as per given numbers 3618/474, 1369/1362 is

GCF of Numerators i.e. for 3618,1369 is 1

LCM of denominators i.e. for 474,1362 is 107598.

Thus, GCF of Fractions is 1/107598.Finally, GCF of Fractions for 3618/474, 1369/1362 is 1/107598.