Greatest Common Factor of 3468/226, 3010/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3468/226, 3010/513

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 3468/226,3010/513

Given fractions are 3468/226,3010/513

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 3468,3010

Greatest Common Factor of Numerators i.e. GCF of 3468,3010 is 2 .

LCM of Denominators means LCM of 226,513 as per the given fractions.

LCM of 226,513 is 115938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3468,3010

GCF of Fractions 3468/226,3010/513 is 2/115938

2 3468, 3010
1734, 1505

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

Greatest Common Factor of 3468,3010 By Matching Biggest Common Factor Method

Greatest Common Factor of 3468,3010 By Matching Biggest Common Factor Method

Factors of 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Factors of 3010

List of positive integer factors of 3010 that divides 3010 without a remainder.

1,2,5,7,10,14,35,43,70,86,215,301,430,602,1505,3010

Greatest Common Factor

We found the factors 3468,3010 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,3010 is 2.

Lets's calculate LCM of 226,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 115938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115938

Therefore, the GCF of Fractions 3468/226,3010/513 is 2/115938

Least Common Multiple of 226,513 with GCF Formula

Least Common Multiple of 226,513 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 226,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,513) = 1

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

GCF(226,513) x common factors =1 x 1 = 1

LCM(226,513) = ( 226 × 513 ) / 1

LCM(226,513) = 115938 / 1

LCM(226,513) = 115938


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 3468/226, 3010/513

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 3468/226, 3010/513?

Answer: GCF of Numerators as per given numbers 3468/226, 3010/513 is

GCF of Numerators i.e. for 3468,3010 is 2

LCM of denominators i.e. for 226,513 is 115938.

Thus, GCF of Fractions is 2/115938.Finally, GCF of Fractions for 3468/226, 3010/513 is 2/115938.