GCF of 9156/285, 8410/9468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9156/285, 8410/9468 i.e 2/899460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9156/285, 8410/9468.
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 9156/285,8410/9468?
Given fractions are 9156/285,8410/9468
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 9156/285,8410/9468, numerators are 9156,8410
Denominators are 285,9468
The GCF of 9156,8410 is 2 .
LCM of 285,9468 is 899460.
The greatest common factor of 9156/285,8410/9468 = [GCF of 9156,8410]/[LCM of 285,9468]= 2/899460
Therefore, the GCF of 9156/285,8410/9468 is 2/899460.
To find the highest common factor of 9156,8410, 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 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
The HCF of 9156,8410 is 2.
Lets's calculate GCF of 9156,8410
| 2 | 9156, 8410 |
| 4578, 4205 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9156,8410 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 8410
:1,2,5,10,29,58,145,290,841,1682,4205,8410
Greatest Common Factor
We found the factors 9156,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 9156,8410 is 2.
Lets's calculate LCM of 285,9468
| 3 | 285, 9468 |
| 95, 3156 |
∴ So the LCM of the given numbers is 3 x 95 x 3156 = 899460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/899460
Therefore, the GCF of Fractions 9156/285,8410/9468 is 2/899460
Least Common Multiple of 285,9468 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 285,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,9468) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,9468) x common factors =3 x 1 = 3
LCM(285,9468) = ( 285 × 9468 ) / 3
LCM(285,9468) = 2698380 / 3
LCM(285,9468) = 899460
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FAQs on GCF of Fractions of 9156/285, 8410/9468
1. What is the HCF of 9156,8410?
The HCF of 9156,8410 is 2
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 9156/285, 8410/9468?
Answer: GCF of Numerators as per given numbers 9156/285, 8410/9468 is
GCF of Numerators i.e. for 9156,8410 is 2
LCM of denominators i.e. for 285,9468 is 899460.
Thus, GCF of Fractions is 2/899460.Finally, GCF of Fractions for 9156/285, 8410/9468 is 2/899460.