Greatest Common Factor of 7454/467, 8487/3821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7454/467, 8487/3821

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 7454/467,8487/3821

Given fractions are 7454/467,8487/3821

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 7454,8487

Greatest Common Factor of Numerators i.e. GCF of 7454,8487 is 1 .

LCM of Denominators means LCM of 467,3821 as per the given fractions.

LCM of 467,3821 is 1784407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7454,8487

GCF of Fractions 7454/467,8487/3821 is 1/1784407

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

Greatest Common Factor of 7454,8487 By Matching Biggest Common Factor Method

Greatest Common Factor of 7454,8487 By Matching Biggest Common Factor Method

Factors of 7454

List of positive integer factors of 7454 that divides 7454 without a remainder.

1,2,3727,7454

Factors of 8487

List of positive integer factors of 8487 that divides 8487 without a remainder.

1,3,9,23,41,69,123,207,369,943,2829,8487

Greatest Common Factor

We found the factors 7454,8487 . The biggest common factor number is the GCF number.
So the greatest common factor 7454,8487 is 1.

Lets's calculate LCM of 467,3821

Given numbers has no common factors except 1. So, there LCM is their product i.e 1784407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1784407

Therefore, the GCF of Fractions 7454/467,8487/3821 is 1/1784407

Least Common Multiple of 467,3821 with GCF Formula

Least Common Multiple of 467,3821 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 467,3821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,3821) = 1

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

GCF(467,3821) x common factors =1 x 1 = 1

LCM(467,3821) = ( 467 × 3821 ) / 1

LCM(467,3821) = 1784407 / 1

LCM(467,3821) = 1784407


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 7454/467, 8487/3821

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 7454/467, 8487/3821?

Answer: GCF of Numerators as per given numbers 7454/467, 8487/3821 is

GCF of Numerators i.e. for 7454,8487 is 1

LCM of denominators i.e. for 467,3821 is 1784407.

Thus, GCF of Fractions is 1/1784407.Finally, GCF of Fractions for 7454/467, 8487/3821 is 1/1784407.