GCF of 9656/985, 8184/8419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9656/985, 8184/8419 i.e 8/8292715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9656/985, 8184/8419.
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 9656/985,8184/8419?
Given fractions are 9656/985,8184/8419
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 9656/985,8184/8419, numerators are 9656,8184
Denominators are 985,8419
The GCF of 9656,8184 is 8 .
LCM of 985,8419 is 8292715.
The greatest common factor of 9656/985,8184/8419 = [GCF of 9656,8184]/[LCM of 985,8419]= 8/8292715
Therefore, the GCF of 9656/985,8184/8419 is 8/8292715.
To find the highest common factor of 9656,8184, we have to find the factors of both numbers and list the highest common factor.
The factors of 9656 are 1, 2, 4, 8, 17, 34, 68, 71, 136, 142, 284, 568, 1207, 2414, 4828, 9656
The factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184
The HCF of 9656,8184 is 8.
Lets's calculate GCF of 9656,8184
| 2 | 9656, 8184 |
| 2 | 4828, 4092 |
| 2 | 2414, 2046 |
| 1207, 1023 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9656,8184 By Matching Biggest Common Factor Method
Now, list down the factors of 9656
:1,2,4,8,17,34,68,71,136,142,284,568,1207,2414,4828,9656
Now, list down the factors of 8184
:1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Greatest Common Factor
We found the factors 9656,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 9656,8184 is 8.
Lets's calculate LCM of 985,8419
Given numbers has no common factors except 1. So, there LCM is their product i.e 8292715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/8292715
Therefore, the GCF of Fractions 9656/985,8184/8419 is 8/8292715
Least Common Multiple of 985,8419 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 985,8419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,8419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,8419) x common factors =1 x 1 = 1
LCM(985,8419) = ( 985 × 8419 ) / 1
LCM(985,8419) = 8292715 / 1
LCM(985,8419) = 8292715
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FAQs on GCF of Fractions of 9656/985, 8184/8419
1. What is the HCF of 9656,8184?
The HCF of 9656,8184 is 8
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 9656/985, 8184/8419?
Answer: GCF of Numerators as per given numbers 9656/985, 8184/8419 is
GCF of Numerators i.e. for 9656,8184 is 8
LCM of denominators i.e. for 985,8419 is 8292715.
Thus, GCF of Fractions is 8/8292715.Finally, GCF of Fractions for 9656/985, 8184/8419 is 8/8292715.