How to Find GCF of 7237/669, 8041/3595?

GCF of 7237/669, 8041/3595

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 7237/669, 8041/3595 i.e 1/2405055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7237/669, 8041/3595.

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 7237/669,8041/3595?

Given fractions are 7237/669,8041/3595

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 7237/669,8041/3595, numerators are 7237,8041

Denominators are 669,3595

The GCF of 7237,8041 is 1 .

LCM of 669,3595 is 2405055.

The greatest common factor of 7237/669,8041/3595 = [GCF of 7237,8041]/[LCM of 669,3595]= 1/2405055

Therefore, the GCF of 7237/669,8041/3595 is 1/2405055.

Greatest Common Factor of 7237,8041

To find the highest common factor of 7237,8041, we have to find the factors of both numbers and list the highest common factor.

The factors of 7237 are 1, 7237

The factors of 8041 are 1, 11, 17, 43, 187, 473, 731, 8041

The HCF of 7237,8041 is 1.

Lets's calculate GCF of 7237,8041

Greatest Common Factor (GCF) of 7237,8041 By Common Division

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

Greatest Common Factor of 7237,8041 By Matching Biggest Common Factor Method

Now, list down the factors of 7237

1,7237

Now, list down the factors of 8041

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 7237,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 7237,8041 is 1.

Lets's calculate LCM of 669,3595

Lowest Common Multiple of 669,3595 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2405055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2405055

Therefore, the GCF of Fractions 7237/669,8041/3595 is 1/2405055

Least Common Multiple of 669,3595 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 669,3595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,3595) = 1

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

GCF(669,3595) x common factors =1 x 1 = 1

LCM(669,3595) = ( 669 × 3595 ) / 1

LCM(669,3595) = 2405055 / 1

LCM(669,3595) = 2405055

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7237/669, 8041/3595

1. What is the HCF of 7237,8041?

The HCF of 7237,8041 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 7237/669, 8041/3595?

Answer: GCF of Numerators as per given numbers 7237/669, 8041/3595 is

GCF of Numerators i.e. for 7237,8041 is 1

LCM of denominators i.e. for 669,3595 is 2405055.

Thus, GCF of Fractions is 1/2405055.Finally, GCF of Fractions for 7237/669, 8041/3595 is 1/2405055.