Greatest Common Factor of 5827/73, 8014/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5827/73, 8014/450

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 5827/73,8014/450

Given fractions are 5827/73,8014/450

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 5827,8014

Greatest Common Factor of Numerators i.e. GCF of 5827,8014 is 1 .

LCM of Denominators means LCM of 73,450 as per the given fractions.

LCM of 73,450 is 32850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5827,8014

GCF of Fractions 5827/73,8014/450 is 1/32850

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

Greatest Common Factor of 5827,8014 By Matching Biggest Common Factor Method

Greatest Common Factor of 5827,8014 By Matching Biggest Common Factor Method

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1,5827

Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1,2,4007,8014

Greatest Common Factor

We found the factors 5827,8014 . The biggest common factor number is the GCF number.
So the greatest common factor 5827,8014 is 1.

Lets's calculate LCM of 73,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 32850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32850

Therefore, the GCF of Fractions 5827/73,8014/450 is 1/32850

Least Common Multiple of 73,450 with GCF Formula

Least Common Multiple of 73,450 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 73,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,450) = 1

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

GCF(73,450) x common factors =1 x 1 = 1

LCM(73,450) = ( 73 × 450 ) / 1

LCM(73,450) = 32850 / 1

LCM(73,450) = 32850


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 5827/73, 8014/450

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 5827/73, 8014/450?

Answer: GCF of Numerators as per given numbers 5827/73, 8014/450 is

GCF of Numerators i.e. for 5827,8014 is 1

LCM of denominators i.e. for 73,450 is 32850.

Thus, GCF of Fractions is 1/32850.Finally, GCF of Fractions for 5827/73, 8014/450 is 1/32850.