GCF of 9984/684, 3642/9299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9984/684, 3642/9299 i.e 6/6360516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9984/684, 3642/9299.
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 9984/684,3642/9299?
Given fractions are 9984/684,3642/9299
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 9984/684,3642/9299, numerators are 9984,3642
Denominators are 684,9299
The GCF of 9984,3642 is 6 .
LCM of 684,9299 is 6360516.
The greatest common factor of 9984/684,3642/9299 = [GCF of 9984,3642]/[LCM of 684,9299]= 6/6360516
Therefore, the GCF of 9984/684,3642/9299 is 6/6360516.
To find the highest common factor of 9984,3642, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642
The HCF of 9984,3642 is 6.
Lets's calculate GCF of 9984,3642
| 2 | 9984, 3642 |
| 3 | 4992, 1821 |
| 1664, 607 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9984,3642 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3642
:1,2,3,6,607,1214,1821,3642
Greatest Common Factor
We found the factors 9984,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 9984,3642 is 6.
Lets's calculate LCM of 684,9299
Given numbers has no common factors except 1. So, there LCM is their product i.e 6360516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6360516
Therefore, the GCF of Fractions 9984/684,3642/9299 is 6/6360516
Least Common Multiple of 684,9299 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 684,9299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,9299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,9299) x common factors =1 x 1 = 1
LCM(684,9299) = ( 684 × 9299 ) / 1
LCM(684,9299) = 6360516 / 1
LCM(684,9299) = 6360516
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9984/684, 3642/9299
1. What is the HCF of 9984,3642?
The HCF of 9984,3642 is 6
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 9984/684, 3642/9299?
Answer: GCF of Numerators as per given numbers 9984/684, 3642/9299 is
GCF of Numerators i.e. for 9984,3642 is 6
LCM of denominators i.e. for 684,9299 is 6360516.
Thus, GCF of Fractions is 6/6360516.Finally, GCF of Fractions for 9984/684, 3642/9299 is 6/6360516.