GCF of 4331/872, 5612/4564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4331/872, 5612/4564 i.e 61/994952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4331/872, 5612/4564.
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 4331/872,5612/4564?
Given fractions are 4331/872,5612/4564
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 4331/872,5612/4564, numerators are 4331,5612
Denominators are 872,4564
The GCF of 4331,5612 is 61 .
LCM of 872,4564 is 994952.
The greatest common factor of 4331/872,5612/4564 = [GCF of 4331,5612]/[LCM of 872,4564]= 61/994952
Therefore, the GCF of 4331/872,5612/4564 is 61/994952.
To find the highest common factor of 4331,5612, we have to find the factors of both numbers and list the highest common factor.
The factors of 4331 are 1, 61, 71, 4331
The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
The HCF of 4331,5612 is 61.
Lets's calculate GCF of 4331,5612
| 61 | 4331, 5612 |
| 71, 92 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 4331,5612 By Matching Biggest Common Factor Method
Now, list down the factors of 4331
:1,61,71,4331
Now, list down the factors of 5612
:1,2,4,23,46,61,92,122,244,1403,2806,5612
Greatest Common Factor
We found the factors 4331,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 4331,5612 is 61.
Lets's calculate LCM of 872,4564
| 2 | 872, 4564 |
| 2 | 436, 2282 |
| 218, 1141 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 1141 = 994952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/994952
Therefore, the GCF of Fractions 4331/872,5612/4564 is 61/994952
Least Common Multiple of 872,4564 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 872,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,4564) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,4564) x common factors =4 x 1 = 4
LCM(872,4564) = ( 872 × 4564 ) / 4
LCM(872,4564) = 3979808 / 4
LCM(872,4564) = 994952
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FAQs on GCF of Fractions of 4331/872, 5612/4564
1. What is the HCF of 4331,5612?
The HCF of 4331,5612 is 61
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 4331/872, 5612/4564?
Answer: GCF of Numerators as per given numbers 4331/872, 5612/4564 is
GCF of Numerators i.e. for 4331,5612 is 61
LCM of denominators i.e. for 872,4564 is 994952.
Thus, GCF of Fractions is 61/994952.Finally, GCF of Fractions for 4331/872, 5612/4564 is 61/994952.