Greatest Common Factor of 451/934, 2400/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/934, 2400/318

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 451/934,2400/318

Given fractions are 451/934,2400/318

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 451,2400

Greatest Common Factor of Numerators i.e. GCF of 451,2400 is 1 .

LCM of Denominators means LCM of 934,318 as per the given fractions.

LCM of 934,318 is 148506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,2400

GCF of Fractions 451/934,2400/318 is 1/148506

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

Greatest Common Factor of 451,2400 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,2400 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 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Greatest Common Factor

We found the factors 451,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 451,2400 is 1.

Lets's calculate LCM of 934,318

2 934, 318
467, 159

∴ So the LCM of the given numbers is 2 x 467 x 159 = 148506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148506

Therefore, the GCF of Fractions 451/934,2400/318 is 1/148506

Least Common Multiple of 934,318 with GCF Formula

Least Common Multiple of 934,318 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 934,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,318) = 2

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

GCF(934,318) x common factors =2 x 1 = 2

LCM(934,318) = ( 934 × 318 ) / 2

LCM(934,318) = 297012 / 2

LCM(934,318) = 148506


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 451/934, 2400/318

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 451/934, 2400/318?

Answer: GCF of Numerators as per given numbers 451/934, 2400/318 is

GCF of Numerators i.e. for 451,2400 is 1

LCM of denominators i.e. for 934,318 is 148506.

Thus, GCF of Fractions is 1/148506.Finally, GCF of Fractions for 451/934, 2400/318 is 1/148506.