How to Find GCF of 9081/421, 3656/7784?

GCF of 9081/421, 3656/7784

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 9081/421, 3656/7784 i.e 1/3277064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9081/421, 3656/7784.

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 9081/421,3656/7784?

Given fractions are 9081/421,3656/7784

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 9081/421,3656/7784, numerators are 9081,3656

Denominators are 421,7784

The GCF of 9081,3656 is 1 .

LCM of 421,7784 is 3277064.

The greatest common factor of 9081/421,3656/7784 = [GCF of 9081,3656]/[LCM of 421,7784]= 1/3277064

Therefore, the GCF of 9081/421,3656/7784 is 1/3277064.

Greatest Common Factor of 9081,3656

To find the highest common factor of 9081,3656, we have to find the factors of both numbers and list the highest common factor.

The factors of 9081 are 1, 3, 9, 1009, 3027, 9081

The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656

The HCF of 9081,3656 is 1.

Lets's calculate GCF of 9081,3656

Greatest Common Factor (GCF) of 9081,3656 By Common Division

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

Greatest Common Factor of 9081,3656 By Matching Biggest Common Factor Method

Now, list down the factors of 9081

1,3,9,1009,3027,9081

Now, list down the factors of 3656

1,2,4,8,457,914,1828,3656

Greatest Common Factor

We found the factors 9081,3656 . The biggest common factor number is the GCF number.
So the greatest common factor 9081,3656 is 1.

Lets's calculate LCM of 421,7784

Lowest Common Multiple of 421,7784 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3277064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3277064

Therefore, the GCF of Fractions 9081/421,3656/7784 is 1/3277064

Least Common Multiple of 421,7784 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 421,7784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,7784) = 1

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

GCF(421,7784) x common factors =1 x 1 = 1

LCM(421,7784) = ( 421 × 7784 ) / 1

LCM(421,7784) = 3277064 / 1

LCM(421,7784) = 3277064

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9081/421, 3656/7784

1. What is the HCF of 9081,3656?

The HCF of 9081,3656 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 9081/421, 3656/7784?

Answer: GCF of Numerators as per given numbers 9081/421, 3656/7784 is

GCF of Numerators i.e. for 9081,3656 is 1

LCM of denominators i.e. for 421,7784 is 3277064.

Thus, GCF of Fractions is 1/3277064.Finally, GCF of Fractions for 9081/421, 3656/7784 is 1/3277064.