Greatest Common Factor of 390/154, 427/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/154, 427/454

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 390/154,427/454

Given fractions are 390/154,427/454

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 390,427

Greatest Common Factor of Numerators i.e. GCF of 390,427 is 1 .

LCM of Denominators means LCM of 154,454 as per the given fractions.

LCM of 154,454 is 34958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,427

GCF of Fractions 390/154,427/454 is 1/34958

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

Greatest Common Factor of 390,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,427 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 390,427 . The biggest common factor number is the GCF number.
So the greatest common factor 390,427 is 1.

Lets's calculate LCM of 154,454

2 154, 454
77, 227

∴ So the LCM of the given numbers is 2 x 77 x 227 = 34958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34958

Therefore, the GCF of Fractions 390/154,427/454 is 1/34958

Least Common Multiple of 154,454 with GCF Formula

Least Common Multiple of 154,454 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 154,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,454) = 2

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

GCF(154,454) x common factors =2 x 1 = 2

LCM(154,454) = ( 154 × 454 ) / 2

LCM(154,454) = 69916 / 2

LCM(154,454) = 34958


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 390/154, 427/454

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 390/154, 427/454?

Answer: GCF of Numerators as per given numbers 390/154, 427/454 is

GCF of Numerators i.e. for 390,427 is 1

LCM of denominators i.e. for 154,454 is 34958.

Thus, GCF of Fractions is 1/34958.Finally, GCF of Fractions for 390/154, 427/454 is 1/34958.