GCF of 4521/672, 6724/4377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4521/672, 6724/4377 i.e 1/980448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4521/672, 6724/4377.
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 4521/672,6724/4377?
Given fractions are 4521/672,6724/4377
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 4521/672,6724/4377, numerators are 4521,6724
Denominators are 672,4377
The GCF of 4521,6724 is 1 .
LCM of 672,4377 is 980448.
The greatest common factor of 4521/672,6724/4377 = [GCF of 4521,6724]/[LCM of 672,4377]= 1/980448
Therefore, the GCF of 4521/672,6724/4377 is 1/980448.
To find the highest common factor of 4521,6724, we have to find the factors of both numbers and list the highest common factor.
The factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521
The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724
The HCF of 4521,6724 is 1.
Lets's calculate GCF of 4521,6724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4521,6724 By Matching Biggest Common Factor Method
Now, list down the factors of 4521
:1,3,11,33,137,411,1507,4521
Now, list down the factors of 6724
:1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 4521,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 4521,6724 is 1.
Lets's calculate LCM of 672,4377
| 3 | 672, 4377 |
| 224, 1459 |
∴ So the LCM of the given numbers is 3 x 224 x 1459 = 980448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/980448
Therefore, the GCF of Fractions 4521/672,6724/4377 is 1/980448
Least Common Multiple of 672,4377 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 672,4377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,4377) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(672,4377) x common factors =3 x 1 = 3
LCM(672,4377) = ( 672 × 4377 ) / 3
LCM(672,4377) = 2941344 / 3
LCM(672,4377) = 980448
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FAQs on GCF of Fractions of 4521/672, 6724/4377
1. What is the HCF of 4521,6724?
The HCF of 4521,6724 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 4521/672, 6724/4377?
Answer: GCF of Numerators as per given numbers 4521/672, 6724/4377 is
GCF of Numerators i.e. for 4521,6724 is 1
LCM of denominators i.e. for 672,4377 is 980448.
Thus, GCF of Fractions is 1/980448.Finally, GCF of Fractions for 4521/672, 6724/4377 is 1/980448.