GCF of 64/872, 99/114, 582/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/872, 99/114, 582/152 i.e 1/49704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/872, 99/114, 582/152.
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 64/872,99/114,582/152?
Given fractions are 64/872,99/114,582/152
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 64/872,99/114,582/152, numerators are 64,99,582
Denominators are 872,114,152
The GCF of 64,99,582 is 1 .
LCM of 872,114,152 is 49704.
The greatest common factor of 64/872,99/114,582/152 = [GCF of 64,99,582]/[LCM of 872,114,152]= 1/49704
Therefore, the GCF of 64/872,99/114,582/152 is 1/49704.
To find the highest common factor of 64,99,582, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 64,99,582 is 1.
Lets's calculate GCF of 64,99,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,99,582 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 64,99,582 . The biggest common factor number is the GCF number.
So the greatest common factor 64,99,582 is 1.
Lets's calculate LCM of 872,114,152
| 2 | 872, 114, 152 |
| 2 | 436, 57, 76 |
| 2 | 218, 57, 38 |
| 19 | 109, 57, 19 |
| 109, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 109 x 3 x 1 = 49704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49704
Therefore, the GCF of Fractions 64/872,99/114,582/152 is 1/49704
Least Common Multiple of 872,114,152 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 872,114,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,114,152) = 2
common factors(in case of two or more numbers have common factors) = 152
GCF(872,114,152) x common factors =2 x 152 = 304
LCM(872,114,152) = ( 872 × 114 × 152 ) / 304
LCM(872,114,152) = 15110016 / 304
LCM(872,114,152) = 49704
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FAQs on GCF of Fractions of 64/872, 99/114, 582/152
1. What is the HCF of 64,99,582?
The HCF of 64,99,582 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 64/872, 99/114, 582/152?
Answer: GCF of Numerators as per given numbers 64/872, 99/114, 582/152 is
GCF of Numerators i.e. for 64,99,582 is 1
LCM of denominators i.e. for 872,114,152 is 49704.
Thus, GCF of Fractions is 1/49704.Finally, GCF of Fractions for 64/872, 99/114, 582/152 is 1/49704.