GCF of 9156/578, 2317/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9156/578, 2317/270 i.e 7/78030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9156/578, 2317/270.
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 9156/578,2317/270?
Given fractions are 9156/578,2317/270
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 9156/578,2317/270, numerators are 9156,2317
Denominators are 578,270
The GCF of 9156,2317 is 7 .
LCM of 578,270 is 78030.
The greatest common factor of 9156/578,2317/270 = [GCF of 9156,2317]/[LCM of 578,270]= 7/78030
Therefore, the GCF of 9156/578,2317/270 is 7/78030.
To find the highest common factor of 9156,2317, we have to find the factors of both numbers and list the highest common factor.
The factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156
The factors of 2317 are 1, 7, 331, 2317
The HCF of 9156,2317 is 7.
Lets's calculate GCF of 9156,2317
| 7 | 9156, 2317 |
| 1308, 331 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9156,2317 By Matching Biggest Common Factor Method
Now, list down the factors of 9156
:1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Now, list down the factors of 2317
:1,7,331,2317
Greatest Common Factor
We found the factors 9156,2317 . The biggest common factor number is the GCF number.
So the greatest common factor 9156,2317 is 7.
Lets's calculate LCM of 578,270
| 2 | 578, 270 |
| 289, 135 |
∴ So the LCM of the given numbers is 2 x 289 x 135 = 78030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/78030
Therefore, the GCF of Fractions 9156/578,2317/270 is 7/78030
Least Common Multiple of 578,270 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 578,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,270) x common factors =2 x 1 = 2
LCM(578,270) = ( 578 × 270 ) / 2
LCM(578,270) = 156060 / 2
LCM(578,270) = 78030
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9156/578, 2317/270
1. What is the HCF of 9156,2317?
The HCF of 9156,2317 is 7
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 9156/578, 2317/270?
Answer: GCF of Numerators as per given numbers 9156/578, 2317/270 is
GCF of Numerators i.e. for 9156,2317 is 7
LCM of denominators i.e. for 578,270 is 78030.
Thus, GCF of Fractions is 7/78030.Finally, GCF of Fractions for 9156/578, 2317/270 is 7/78030.