GCF of 156/288, 5817/1282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 156/288, 5817/1282 i.e 3/184608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/288, 5817/1282.
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 156/288,5817/1282?
Given fractions are 156/288,5817/1282
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 156/288,5817/1282, numerators are 156,5817
Denominators are 288,1282
The GCF of 156,5817 is 3 .
LCM of 288,1282 is 184608.
The greatest common factor of 156/288,5817/1282 = [GCF of 156,5817]/[LCM of 288,1282]= 3/184608
Therefore, the GCF of 156/288,5817/1282 is 3/184608.
To find the highest common factor of 156,5817, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817
The HCF of 156,5817 is 3.
Lets's calculate GCF of 156,5817
| 3 | 156, 5817 |
| 52, 1939 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 156,5817 By Matching Biggest Common Factor Method
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 5817
:1,3,7,21,277,831,1939,5817
Greatest Common Factor
We found the factors 156,5817 . The biggest common factor number is the GCF number.
So the greatest common factor 156,5817 is 3.
Lets's calculate LCM of 288,1282
| 2 | 288, 1282 |
| 144, 641 |
∴ So the LCM of the given numbers is 2 x 144 x 641 = 184608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/184608
Therefore, the GCF of Fractions 156/288,5817/1282 is 3/184608
Least Common Multiple of 288,1282 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 288,1282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,1282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(288,1282) x common factors =2 x 1 = 2
LCM(288,1282) = ( 288 × 1282 ) / 2
LCM(288,1282) = 369216 / 2
LCM(288,1282) = 184608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 156/288, 5817/1282
1. What is the HCF of 156,5817?
The HCF of 156,5817 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 156/288, 5817/1282?
Answer: GCF of Numerators as per given numbers 156/288, 5817/1282 is
GCF of Numerators i.e. for 156,5817 is 3
LCM of denominators i.e. for 288,1282 is 184608.
Thus, GCF of Fractions is 3/184608.Finally, GCF of Fractions for 156/288, 5817/1282 is 3/184608.