Greatest Common Factor of 3438/511, 4406/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3438/511, 4406/138

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 3438/511,4406/138

Given fractions are 3438/511,4406/138

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 3438,4406

Greatest Common Factor of Numerators i.e. GCF of 3438,4406 is 2 .

LCM of Denominators means LCM of 511,138 as per the given fractions.

LCM of 511,138 is 70518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3438,4406

GCF of Fractions 3438/511,4406/138 is 2/70518

2 3438, 4406
1719, 2203

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

Greatest Common Factor of 3438,4406 By Matching Biggest Common Factor Method

Greatest Common Factor of 3438,4406 By Matching Biggest Common Factor Method

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1,2,2203,4406

Greatest Common Factor

We found the factors 3438,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 3438,4406 is 2.

Lets's calculate LCM of 511,138

Given numbers has no common factors except 1. So, there LCM is their product i.e 70518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70518

Therefore, the GCF of Fractions 3438/511,4406/138 is 2/70518

Least Common Multiple of 511,138 with GCF Formula

Least Common Multiple of 511,138 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 511,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,138) = 1

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

GCF(511,138) x common factors =1 x 1 = 1

LCM(511,138) = ( 511 × 138 ) / 1

LCM(511,138) = 70518 / 1

LCM(511,138) = 70518


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 3438/511, 4406/138

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 3438/511, 4406/138?

Answer: GCF of Numerators as per given numbers 3438/511, 4406/138 is

GCF of Numerators i.e. for 3438,4406 is 2

LCM of denominators i.e. for 511,138 is 70518.

Thus, GCF of Fractions is 2/70518.Finally, GCF of Fractions for 3438/511, 4406/138 is 2/70518.