How to Find GCF of 4044/749, 7211/8809?

GCF of 4044/749, 7211/8809

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 4044/749, 7211/8809 i.e 1/6597941 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4044/749, 7211/8809.

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 4044/749,7211/8809?

Given fractions are 4044/749,7211/8809

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 4044/749,7211/8809, numerators are 4044,7211

Denominators are 749,8809

The GCF of 4044,7211 is 1 .

LCM of 749,8809 is 6597941.

The greatest common factor of 4044/749,7211/8809 = [GCF of 4044,7211]/[LCM of 749,8809]= 1/6597941

Therefore, the GCF of 4044/749,7211/8809 is 1/6597941.

Greatest Common Factor of 4044,7211

To find the highest common factor of 4044,7211, we have to find the factors of both numbers and list the highest common factor.

The factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044

The factors of 7211 are 1, 7211

The HCF of 4044,7211 is 1.

Lets's calculate GCF of 4044,7211

Greatest Common Factor (GCF) of 4044,7211 By Common Division

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

Greatest Common Factor of 4044,7211 By Matching Biggest Common Factor Method

Now, list down the factors of 4044

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Now, list down the factors of 7211

1,7211

Greatest Common Factor

We found the factors 4044,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 4044,7211 is 1.

Lets's calculate LCM of 749,8809

Lowest Common Multiple of 749,8809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6597941

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6597941

Therefore, the GCF of Fractions 4044/749,7211/8809 is 1/6597941

Least Common Multiple of 749,8809 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 749,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,8809) = 1

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

GCF(749,8809) x common factors =1 x 1 = 1

LCM(749,8809) = ( 749 × 8809 ) / 1

LCM(749,8809) = 6597941 / 1

LCM(749,8809) = 6597941

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4044/749, 7211/8809

1. What is the HCF of 4044,7211?

The HCF of 4044,7211 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 4044/749, 7211/8809?

Answer: GCF of Numerators as per given numbers 4044/749, 7211/8809 is

GCF of Numerators i.e. for 4044,7211 is 1

LCM of denominators i.e. for 749,8809 is 6597941.

Thus, GCF of Fractions is 1/6597941.Finally, GCF of Fractions for 4044/749, 7211/8809 is 1/6597941.