Greatest Common Factor of 1184/430, 2618/3320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1184/430, 2618/3320

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 1184/430,2618/3320

Given fractions are 1184/430,2618/3320

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 1184,2618

Greatest Common Factor of Numerators i.e. GCF of 1184,2618 is 2 .

LCM of Denominators means LCM of 430,3320 as per the given fractions.

LCM of 430,3320 is 142760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1184,2618

GCF of Fractions 1184/430,2618/3320 is 2/142760

2 1184, 2618
592, 1309

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

Greatest Common Factor of 1184,2618 By Matching Biggest Common Factor Method

Greatest Common Factor of 1184,2618 By Matching Biggest Common Factor Method

Factors of 1184

List of positive integer factors of 1184 that divides 1184 without a remainder.

1,2,4,8,16,32,37,74,148,296,592,1184

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1,2,7,11,14,17,22,34,77,119,154,187,238,374,1309,2618

Greatest Common Factor

We found the factors 1184,2618 . The biggest common factor number is the GCF number.
So the greatest common factor 1184,2618 is 2.

Lets's calculate LCM of 430,3320

2 430, 3320
5 215, 1660
43, 332

∴ So the LCM of the given numbers is 2 x 5 x 43 x 332 = 142760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142760

Therefore, the GCF of Fractions 1184/430,2618/3320 is 2/142760

Least Common Multiple of 430,3320 with GCF Formula

Least Common Multiple of 430,3320 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 430,3320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,3320) = 10

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

GCF(430,3320) x common factors =10 x 1 = 10

LCM(430,3320) = ( 430 × 3320 ) / 10

LCM(430,3320) = 1427600 / 10

LCM(430,3320) = 142760


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 1184/430, 2618/3320

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 1184/430, 2618/3320?

Answer: GCF of Numerators as per given numbers 1184/430, 2618/3320 is

GCF of Numerators i.e. for 1184,2618 is 2

LCM of denominators i.e. for 430,3320 is 142760.

Thus, GCF of Fractions is 2/142760.Finally, GCF of Fractions for 1184/430, 2618/3320 is 2/142760.