How to Find GCF of 7027/789, 7883/3224?

GCF of 7027/789, 7883/3224

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7027/789, 7883/3224 i.e 1/2543736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7027/789, 7883/3224.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7027/789,7883/3224?

Given fractions are 7027/789,7883/3224

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7027/789,7883/3224, numerators are 7027,7883

Denominators are 789,3224

The GCF of 7027,7883 is 1 .

LCM of 789,3224 is 2543736.

The greatest common factor of 7027/789,7883/3224 = [GCF of 7027,7883]/[LCM of 789,3224]= 1/2543736

Therefore, the GCF of 7027/789,7883/3224 is 1/2543736.

Greatest Common Factor of 7027,7883

To find the highest common factor of 7027,7883, we have to find the factors of both numbers and list the highest common factor.

The factors of 7027 are 1, 7027

The factors of 7883 are 1, 7883

The HCF of 7027,7883 is 1.

Lets's calculate GCF of 7027,7883

Greatest Common Factor (GCF) of 7027,7883 By Common Division

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

Greatest Common Factor of 7027,7883 By Matching Biggest Common Factor Method

Now, list down the factors of 7027

1,7027

Now, list down the factors of 7883

1,7883

Greatest Common Factor

We found the factors 7027,7883 . The biggest common factor number is the GCF number.
So the greatest common factor 7027,7883 is 1.

Lets's calculate LCM of 789,3224

Lowest Common Multiple of 789,3224 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2543736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2543736

Therefore, the GCF of Fractions 7027/789,7883/3224 is 1/2543736

Least Common Multiple of 789,3224 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 789,3224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,3224) = 1

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

GCF(789,3224) x common factors =1 x 1 = 1

LCM(789,3224) = ( 789 × 3224 ) / 1

LCM(789,3224) = 2543736 / 1

LCM(789,3224) = 2543736

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7027/789, 7883/3224

1. What is the HCF of 7027,7883?

The HCF of 7027,7883 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 7027/789, 7883/3224?

Answer: GCF of Numerators as per given numbers 7027/789, 7883/3224 is

GCF of Numerators i.e. for 7027,7883 is 1

LCM of denominators i.e. for 789,3224 is 2543736.

Thus, GCF of Fractions is 1/2543736.Finally, GCF of Fractions for 7027/789, 7883/3224 is 1/2543736.