Greatest Common Factor of 451/414, 246/390, 103/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/414, 246/390, 103/420

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 451/414,246/390,103/420

Given fractions are 451/414,246/390,103/420

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 451,246,103

Greatest Common Factor of Numerators i.e. GCF of 451,246,103 is 1 .

LCM of Denominators means LCM of 414,390,420 as per the given fractions.

LCM of 414,390,420 is 376740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,246,103

GCF of Fractions 451/414,246/390,103/420 is 1/376740

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

Greatest Common Factor of 451,246,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,246,103 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 451,246,103 . The biggest common factor number is the GCF number.
So the greatest common factor 451,246,103 is 1.

Lets's calculate LCM of 414,390,420

2 414, 390, 420
3 207, 195, 210
5 69, 65, 70
69, 13, 14

∴ So the LCM of the given numbers is 2 x 3 x 5 x 69 x 13 x 14 = 376740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376740

Therefore, the GCF of Fractions 451/414,246/390,103/420 is 1/376740

Least Common Multiple of 414,390,420 with GCF Formula

Least Common Multiple of 414,390,420 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 414,390,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,390,420) = 6

common factors(in case of two or more numbers have common factors) = 30

GCF(414,390,420) x common factors =6 x 30 = 180

LCM(414,390,420) = ( 414 × 390 × 420 ) / 180

LCM(414,390,420) = 67813200 / 180

LCM(414,390,420) = 376740


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 451/414, 246/390, 103/420

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 451/414, 246/390, 103/420?

Answer: GCF of Numerators as per given numbers 451/414, 246/390, 103/420 is

GCF of Numerators i.e. for 451,246,103 is 1

LCM of denominators i.e. for 414,390,420 is 376740.

Thus, GCF of Fractions is 1/376740.Finally, GCF of Fractions for 451/414, 246/390, 103/420 is 1/376740.