GCF of 4584/932, 5936/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4584/932, 5936/766 i.e 8/356956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4584/932, 5936/766.
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 4584/932,5936/766?
Given fractions are 4584/932,5936/766
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 4584/932,5936/766, numerators are 4584,5936
Denominators are 932,766
The GCF of 4584,5936 is 8 .
LCM of 932,766 is 356956.
The greatest common factor of 4584/932,5936/766 = [GCF of 4584,5936]/[LCM of 932,766]= 8/356956
Therefore, the GCF of 4584/932,5936/766 is 8/356956.
To find the highest common factor of 4584,5936, we have to find the factors of both numbers and list the highest common factor.
The factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584
The factors of 5936 are 1, 2, 4, 7, 8, 14, 16, 28, 53, 56, 106, 112, 212, 371, 424, 742, 848, 1484, 2968, 5936
The HCF of 4584,5936 is 8.
Lets's calculate GCF of 4584,5936
| 2 | 4584, 5936 |
| 2 | 2292, 2968 |
| 2 | 1146, 1484 |
| 573, 742 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4584,5936 By Matching Biggest Common Factor Method
Now, list down the factors of 4584
:1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Now, list down the factors of 5936
:1,2,4,7,8,14,16,28,53,56,106,112,212,371,424,742,848,1484,2968,5936
Greatest Common Factor
We found the factors 4584,5936 . The biggest common factor number is the GCF number.
So the greatest common factor 4584,5936 is 8.
Lets's calculate LCM of 932,766
| 2 | 932, 766 |
| 466, 383 |
∴ So the LCM of the given numbers is 2 x 466 x 383 = 356956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/356956
Therefore, the GCF of Fractions 4584/932,5936/766 is 8/356956
Least Common Multiple of 932,766 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 932,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,766) x common factors =2 x 1 = 2
LCM(932,766) = ( 932 × 766 ) / 2
LCM(932,766) = 713912 / 2
LCM(932,766) = 356956
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4584/932, 5936/766
1. What is the HCF of 4584,5936?
The HCF of 4584,5936 is 8
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 4584/932, 5936/766?
Answer: GCF of Numerators as per given numbers 4584/932, 5936/766 is
GCF of Numerators i.e. for 4584,5936 is 8
LCM of denominators i.e. for 932,766 is 356956.
Thus, GCF of Fractions is 8/356956.Finally, GCF of Fractions for 4584/932, 5936/766 is 8/356956.