Greatest Common Factor of 3492/38, 3099/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3492/38, 3099/614

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 3492/38,3099/614

Given fractions are 3492/38,3099/614

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 3492,3099

Greatest Common Factor of Numerators i.e. GCF of 3492,3099 is 3 .

LCM of Denominators means LCM of 38,614 as per the given fractions.

LCM of 38,614 is 11666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3492,3099

GCF of Fractions 3492/38,3099/614 is 3/11666

3 3492, 3099
1164, 1033

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3492,3099 By Matching Biggest Common Factor Method

Greatest Common Factor of 3492,3099 By Matching Biggest Common Factor Method

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Factors of 3099

List of positive integer factors of 3099 that divides 3099 without a remainder.

1,3,1033,3099

Greatest Common Factor

We found the factors 3492,3099 . The biggest common factor number is the GCF number.
So the greatest common factor 3492,3099 is 3.

Lets's calculate LCM of 38,614

2 38, 614
19, 307

∴ So the LCM of the given numbers is 2 x 19 x 307 = 11666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11666

Therefore, the GCF of Fractions 3492/38,3099/614 is 3/11666

Least Common Multiple of 38,614 with GCF Formula

Least Common Multiple of 38,614 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 38,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,614) = 2

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

GCF(38,614) x common factors =2 x 1 = 2

LCM(38,614) = ( 38 × 614 ) / 2

LCM(38,614) = 23332 / 2

LCM(38,614) = 11666


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 3492/38, 3099/614

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 3492/38, 3099/614?

Answer: GCF of Numerators as per given numbers 3492/38, 3099/614 is

GCF of Numerators i.e. for 3492,3099 is 3

LCM of denominators i.e. for 38,614 is 11666.

Thus, GCF of Fractions is 3/11666.Finally, GCF of Fractions for 3492/38, 3099/614 is 3/11666.