GCF of 99/256, 63/631, 312/601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/256, 63/631, 312/601 i.e 3/97083136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/256, 63/631, 312/601.
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 99/256,63/631,312/601?
Given fractions are 99/256,63/631,312/601
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 99/256,63/631,312/601, numerators are 99,63,312
Denominators are 256,631,601
The GCF of 99,63,312 is 3 .
LCM of 256,631,601 is 97083136.
The greatest common factor of 99/256,63/631,312/601 = [GCF of 99,63,312]/[LCM of 256,631,601]= 3/97083136
Therefore, the GCF of 99/256,63/631,312/601 is 3/97083136.
To find the highest common factor of 99,63,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 99,63,312 is 3.
Lets's calculate GCF of 99,63,312
| 3 | 99, 63, 312 |
| 33, 21, 104 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,63,312 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 99,63,312 . The biggest common factor number is the GCF number.
So the greatest common factor 99,63,312 is 3.
Lets's calculate LCM of 256,631,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 97083136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97083136
Therefore, the GCF of Fractions 99/256,63/631,312/601 is 3/97083136
Least Common Multiple of 256,631,601 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 256,631,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,631,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,631,601) x common factors =1 x 1 = 1
LCM(256,631,601) = ( 256 × 631 × 601 ) / 1
LCM(256,631,601) = 97083136 / 1
LCM(256,631,601) = 97083136
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 99/256, 63/631, 312/601
1. What is the HCF of 99,63,312?
The HCF of 99,63,312 is 3
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 99/256, 63/631, 312/601?
Answer: GCF of Numerators as per given numbers 99/256, 63/631, 312/601 is
GCF of Numerators i.e. for 99,63,312 is 3
LCM of denominators i.e. for 256,631,601 is 97083136.
Thus, GCF of Fractions is 3/97083136.Finally, GCF of Fractions for 99/256, 63/631, 312/601 is 3/97083136.