Greatest Common Factor of 514/10, 4368/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 514/10, 4368/401

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 514/10,4368/401

Given fractions are 514/10,4368/401

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 514,4368

Greatest Common Factor of Numerators i.e. GCF of 514,4368 is 2 .

LCM of Denominators means LCM of 10,401 as per the given fractions.

LCM of 10,401 is 4010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 514,4368

GCF of Fractions 514/10,4368/401 is 2/4010

2 514, 4368
257, 2184

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

Greatest Common Factor of 514,4368 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,4368 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Greatest Common Factor

We found the factors 514,4368 . The biggest common factor number is the GCF number.
So the greatest common factor 514,4368 is 2.

Lets's calculate LCM of 10,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 4010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4010

Therefore, the GCF of Fractions 514/10,4368/401 is 2/4010

Least Common Multiple of 10,401 with GCF Formula

Least Common Multiple of 10,401 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 10,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,401) = 1

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

GCF(10,401) x common factors =1 x 1 = 1

LCM(10,401) = ( 10 × 401 ) / 1

LCM(10,401) = 4010 / 1

LCM(10,401) = 4010


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 514/10, 4368/401

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 514/10, 4368/401?

Answer: GCF of Numerators as per given numbers 514/10, 4368/401 is

GCF of Numerators i.e. for 514,4368 is 2

LCM of denominators i.e. for 10,401 is 4010.

Thus, GCF of Fractions is 2/4010.Finally, GCF of Fractions for 514/10, 4368/401 is 2/4010.