GCF of 8965/238, 9984/9496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8965/238, 9984/9496 i.e 1/1130024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8965/238, 9984/9496.
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 8965/238,9984/9496?
Given fractions are 8965/238,9984/9496
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 8965/238,9984/9496, numerators are 8965,9984
Denominators are 238,9496
The GCF of 8965,9984 is 1 .
LCM of 238,9496 is 1130024.
The greatest common factor of 8965/238,9984/9496 = [GCF of 8965,9984]/[LCM of 238,9496]= 1/1130024
Therefore, the GCF of 8965/238,9984/9496 is 1/1130024.
To find the highest common factor of 8965,9984, we have to find the factors of both numbers and list the highest common factor.
The factors of 8965 are 1, 5, 11, 55, 163, 815, 1793, 8965
The factors of 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984
The HCF of 8965,9984 is 1.
Lets's calculate GCF of 8965,9984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8965,9984 By Matching Biggest Common Factor Method
Now, list down the factors of 8965
:1,5,11,55,163,815,1793,8965
Now, list down the factors of 9984
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984
Greatest Common Factor
We found the factors 8965,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 8965,9984 is 1.
Lets's calculate LCM of 238,9496
| 2 | 238, 9496 |
| 119, 4748 |
∴ So the LCM of the given numbers is 2 x 119 x 4748 = 1130024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1130024
Therefore, the GCF of Fractions 8965/238,9984/9496 is 1/1130024
Least Common Multiple of 238,9496 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 238,9496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,9496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(238,9496) x common factors =2 x 1 = 2
LCM(238,9496) = ( 238 × 9496 ) / 2
LCM(238,9496) = 2260048 / 2
LCM(238,9496) = 1130024
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FAQs on GCF of Fractions of 8965/238, 9984/9496
1. What is the HCF of 8965,9984?
The HCF of 8965,9984 is 1
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 8965/238, 9984/9496?
Answer: GCF of Numerators as per given numbers 8965/238, 9984/9496 is
GCF of Numerators i.e. for 8965,9984 is 1
LCM of denominators i.e. for 238,9496 is 1130024.
Thus, GCF of Fractions is 1/1130024.Finally, GCF of Fractions for 8965/238, 9984/9496 is 1/1130024.