Greatest Common Factor of 188/742, 2310/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/742, 2310/489

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 188/742,2310/489

Given fractions are 188/742,2310/489

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 188,2310

Greatest Common Factor of Numerators i.e. GCF of 188,2310 is 2 .

LCM of Denominators means LCM of 742,489 as per the given fractions.

LCM of 742,489 is 362838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,2310

GCF of Fractions 188/742,2310/489 is 2/362838

2 188, 2310
94, 1155

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

Greatest Common Factor of 188,2310 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,2310 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 2310

List of positive integer factors of 2310 that divides 2310 without a remainder.

1,2,3,5,6,7,10,11,14,15,21,22,30,33,35,42,55,66,70,77,105,110,154,165,210,231,330,385,462,770,1155,2310

Greatest Common Factor

We found the factors 188,2310 . The biggest common factor number is the GCF number.
So the greatest common factor 188,2310 is 2.

Lets's calculate LCM of 742,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 362838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/362838

Therefore, the GCF of Fractions 188/742,2310/489 is 2/362838

Least Common Multiple of 742,489 with GCF Formula

Least Common Multiple of 742,489 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 742,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,489) = 1

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

GCF(742,489) x common factors =1 x 1 = 1

LCM(742,489) = ( 742 × 489 ) / 1

LCM(742,489) = 362838 / 1

LCM(742,489) = 362838


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 188/742, 2310/489

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 188/742, 2310/489?

Answer: GCF of Numerators as per given numbers 188/742, 2310/489 is

GCF of Numerators i.e. for 188,2310 is 2

LCM of denominators i.e. for 742,489 is 362838.

Thus, GCF of Fractions is 2/362838.Finally, GCF of Fractions for 188/742, 2310/489 is 2/362838.