How to Find GCF of 7425/151, 6067/4684?

GCF of 7425/151, 6067/4684

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 7425/151, 6067/4684 i.e 1/707284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7425/151, 6067/4684.

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 7425/151,6067/4684?

Given fractions are 7425/151,6067/4684

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 7425/151,6067/4684, numerators are 7425,6067

Denominators are 151,4684

The GCF of 7425,6067 is 1 .

LCM of 151,4684 is 707284.

The greatest common factor of 7425/151,6067/4684 = [GCF of 7425,6067]/[LCM of 151,4684]= 1/707284

Therefore, the GCF of 7425/151,6067/4684 is 1/707284.

Greatest Common Factor of 7425,6067

To find the highest common factor of 7425,6067, we have to find the factors of both numbers and list the highest common factor.

The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

The factors of 6067 are 1, 6067

The HCF of 7425,6067 is 1.

Lets's calculate GCF of 7425,6067

Greatest Common Factor (GCF) of 7425,6067 By Common Division

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

Greatest Common Factor of 7425,6067 By Matching Biggest Common Factor Method

Now, list down the factors of 7425

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Now, list down the factors of 6067

1,6067

Greatest Common Factor

We found the factors 7425,6067 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,6067 is 1.

Lets's calculate LCM of 151,4684

Lowest Common Multiple of 151,4684 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 707284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707284

Therefore, the GCF of Fractions 7425/151,6067/4684 is 1/707284

Least Common Multiple of 151,4684 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 151,4684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,4684) = 1

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

GCF(151,4684) x common factors =1 x 1 = 1

LCM(151,4684) = ( 151 × 4684 ) / 1

LCM(151,4684) = 707284 / 1

LCM(151,4684) = 707284

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7425/151, 6067/4684

1. What is the HCF of 7425,6067?

The HCF of 7425,6067 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 7425/151, 6067/4684?

Answer: GCF of Numerators as per given numbers 7425/151, 6067/4684 is

GCF of Numerators i.e. for 7425,6067 is 1

LCM of denominators i.e. for 151,4684 is 707284.

Thus, GCF of Fractions is 1/707284.Finally, GCF of Fractions for 7425/151, 6067/4684 is 1/707284.