Greatest Common Factor of 99/237, 309/306, 386/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/237, 309/306, 386/862

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 99/237,309/306,386/862

Given fractions are 99/237,309/306,386/862

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 99,309,386

Greatest Common Factor of Numerators i.e. GCF of 99,309,386 is 1 .

LCM of Denominators means LCM of 237,306,862 as per the given fractions.

LCM of 237,306,862 is 10418994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,309,386

GCF of Fractions 99/237,309/306,386/862 is 1/10418994

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

Greatest Common Factor of 99,309,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,309,386 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 99,309,386 . The biggest common factor number is the GCF number.
So the greatest common factor 99,309,386 is 1.

Lets's calculate LCM of 237,306,862

2 237, 306, 862
3 237, 153, 431
79, 51, 431

∴ So the LCM of the given numbers is 2 x 3 x 79 x 51 x 431 = 10418994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10418994

Therefore, the GCF of Fractions 99/237,309/306,386/862 is 1/10418994

Least Common Multiple of 237,306,862 with GCF Formula

Least Common Multiple of 237,306,862 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 237,306,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,306,862) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(237,306,862) x common factors =1 x 6 = 6

LCM(237,306,862) = ( 237 × 306 × 862 ) / 6

LCM(237,306,862) = 62513964 / 6

LCM(237,306,862) = 10418994


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 99/237, 309/306, 386/862

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 99/237, 309/306, 386/862?

Answer: GCF of Numerators as per given numbers 99/237, 309/306, 386/862 is

GCF of Numerators i.e. for 99,309,386 is 1

LCM of denominators i.e. for 237,306,862 is 10418994.

Thus, GCF of Fractions is 1/10418994.Finally, GCF of Fractions for 99/237, 309/306, 386/862 is 1/10418994.