GCF of 9516/867, 8520/2663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9516/867, 8520/2663 i.e 12/2308821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9516/867, 8520/2663.
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 9516/867,8520/2663?
Given fractions are 9516/867,8520/2663
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 9516/867,8520/2663, numerators are 9516,8520
Denominators are 867,2663
The GCF of 9516,8520 is 12 .
LCM of 867,2663 is 2308821.
The greatest common factor of 9516/867,8520/2663 = [GCF of 9516,8520]/[LCM of 867,2663]= 12/2308821
Therefore, the GCF of 9516/867,8520/2663 is 12/2308821.
To find the highest common factor of 9516,8520, 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 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The HCF of 9516,8520 is 12.
Lets's calculate GCF of 9516,8520
| 2 | 9516, 8520 |
| 2 | 4758, 4260 |
| 3 | 2379, 2130 |
| 793, 710 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9516,8520 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 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Greatest Common Factor
We found the factors 9516,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,8520 is 12.
Lets's calculate LCM of 867,2663
Given numbers has no common factors except 1. So, there LCM is their product i.e 2308821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2308821
Therefore, the GCF of Fractions 9516/867,8520/2663 is 12/2308821
Least Common Multiple of 867,2663 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 867,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,2663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,2663) x common factors =1 x 1 = 1
LCM(867,2663) = ( 867 × 2663 ) / 1
LCM(867,2663) = 2308821 / 1
LCM(867,2663) = 2308821
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9516/867, 8520/2663
1. What is the HCF of 9516,8520?
The HCF of 9516,8520 is 12
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 9516/867, 8520/2663?
Answer: GCF of Numerators as per given numbers 9516/867, 8520/2663 is
GCF of Numerators i.e. for 9516,8520 is 12
LCM of denominators i.e. for 867,2663 is 2308821.
Thus, GCF of Fractions is 12/2308821.Finally, GCF of Fractions for 9516/867, 8520/2663 is 12/2308821.