GCF of 9516/257, 4056/9308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9516/257, 4056/9308 i.e 156/2392156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9516/257, 4056/9308.
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 9516/257,4056/9308?
Given fractions are 9516/257,4056/9308
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 9516/257,4056/9308, numerators are 9516,4056
Denominators are 257,9308
The GCF of 9516,4056 is 156 .
LCM of 257,9308 is 2392156.
The greatest common factor of 9516/257,4056/9308 = [GCF of 9516,4056]/[LCM of 257,9308]= 156/2392156
Therefore, the GCF of 9516/257,4056/9308 is 156/2392156.
To find the highest common factor of 9516,4056, we have to find the factors of both numbers and list the highest common factor.
The factors of 9516 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758, 9516
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The HCF of 9516,4056 is 156.
Lets's calculate GCF of 9516,4056
| 2 | 9516, 4056 |
| 2 | 4758, 2028 |
| 3 | 2379, 1014 |
| 13 | 793, 338 |
| 61, 26 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 9516,4056 By Matching Biggest Common Factor Method
Now, list down the factors of 9516
:1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 9516,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,4056 is 156.
Lets's calculate LCM of 257,9308
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/2392156
Therefore, the GCF of Fractions 9516/257,4056/9308 is 156/2392156
Least Common Multiple of 257,9308 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 257,9308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,9308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,9308) x common factors =1 x 1 = 1
LCM(257,9308) = ( 257 × 9308 ) / 1
LCM(257,9308) = 2392156 / 1
LCM(257,9308) = 2392156
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FAQs on GCF of Fractions of 9516/257, 4056/9308
1. What is the HCF of 9516,4056?
The HCF of 9516,4056 is 156
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 9516/257, 4056/9308?
Answer: GCF of Numerators as per given numbers 9516/257, 4056/9308 is
GCF of Numerators i.e. for 9516,4056 is 156
LCM of denominators i.e. for 257,9308 is 2392156.
Thus, GCF of Fractions is 156/2392156.Finally, GCF of Fractions for 9516/257, 4056/9308 is 156/2392156.