Greatest Common Factor of 4646/138, 6033/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4646/138, 6033/257

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 4646/138,6033/257

Given fractions are 4646/138,6033/257

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 4646,6033

Greatest Common Factor of Numerators i.e. GCF of 4646,6033 is 1 .

LCM of Denominators means LCM of 138,257 as per the given fractions.

LCM of 138,257 is 35466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4646,6033

GCF of Fractions 4646/138,6033/257 is 1/35466

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

Greatest Common Factor of 4646,6033 By Matching Biggest Common Factor Method

Greatest Common Factor of 4646,6033 By Matching Biggest Common Factor Method

Factors of 4646

List of positive integer factors of 4646 that divides 4646 without a remainder.

1,2,23,46,101,202,2323,4646

Factors of 6033

List of positive integer factors of 6033 that divides 6033 without a remainder.

1,3,2011,6033

Greatest Common Factor

We found the factors 4646,6033 . The biggest common factor number is the GCF number.
So the greatest common factor 4646,6033 is 1.

Lets's calculate LCM of 138,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 35466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35466

Therefore, the GCF of Fractions 4646/138,6033/257 is 1/35466

Least Common Multiple of 138,257 with GCF Formula

Least Common Multiple of 138,257 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 138,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,257) = 1

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

GCF(138,257) x common factors =1 x 1 = 1

LCM(138,257) = ( 138 × 257 ) / 1

LCM(138,257) = 35466 / 1

LCM(138,257) = 35466


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 4646/138, 6033/257

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 4646/138, 6033/257?

Answer: GCF of Numerators as per given numbers 4646/138, 6033/257 is

GCF of Numerators i.e. for 4646,6033 is 1

LCM of denominators i.e. for 138,257 is 35466.

Thus, GCF of Fractions is 1/35466.Finally, GCF of Fractions for 4646/138, 6033/257 is 1/35466.