GCF of 2585/322, 8184/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2585/322, 8184/7384 i.e 11/1188824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/322, 8184/7384.
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 2585/322,8184/7384?
Given fractions are 2585/322,8184/7384
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 2585/322,8184/7384, numerators are 2585,8184
Denominators are 322,7384
The GCF of 2585,8184 is 11 .
LCM of 322,7384 is 1188824.
The greatest common factor of 2585/322,8184/7384 = [GCF of 2585,8184]/[LCM of 322,7384]= 11/1188824
Therefore, the GCF of 2585/322,8184/7384 is 11/1188824.
To find the highest common factor of 2585,8184, we have to find the factors of both numbers and list the highest common factor.
The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585
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 2585,8184 is 11.
Lets's calculate GCF of 2585,8184
| 11 | 2585, 8184 |
| 235, 744 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2585,8184 By Matching Biggest Common Factor Method
Now, list down the factors of 2585
:1,5,11,47,55,235,517,2585
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 2585,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,8184 is 11.
Lets's calculate LCM of 322,7384
| 2 | 322, 7384 |
| 161, 3692 |
∴ So the LCM of the given numbers is 2 x 161 x 3692 = 1188824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1188824
Therefore, the GCF of Fractions 2585/322,8184/7384 is 11/1188824
Least Common Multiple of 322,7384 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 322,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7384) x common factors =2 x 1 = 2
LCM(322,7384) = ( 322 × 7384 ) / 2
LCM(322,7384) = 2377648 / 2
LCM(322,7384) = 1188824
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FAQs on GCF of Fractions of 2585/322, 8184/7384
1. What is the HCF of 2585,8184?
The HCF of 2585,8184 is 11
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 2585/322, 8184/7384?
Answer: GCF of Numerators as per given numbers 2585/322, 8184/7384 is
GCF of Numerators i.e. for 2585,8184 is 11
LCM of denominators i.e. for 322,7384 is 1188824.
Thus, GCF of Fractions is 11/1188824.Finally, GCF of Fractions for 2585/322, 8184/7384 is 11/1188824.