GCF of 6885/417, 9016/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6885/417, 9016/420 i.e 1/58380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6885/417, 9016/420.
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 6885/417,9016/420?
Given fractions are 6885/417,9016/420
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 6885/417,9016/420, numerators are 6885,9016
Denominators are 417,420
The GCF of 6885,9016 is 1 .
LCM of 417,420 is 58380.
The greatest common factor of 6885/417,9016/420 = [GCF of 6885,9016]/[LCM of 417,420]= 1/58380
Therefore, the GCF of 6885/417,9016/420 is 1/58380.
To find the highest common factor of 6885,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 6885,9016 is 1.
Lets's calculate GCF of 6885,9016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6885,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 6885
:1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 6885,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 6885,9016 is 1.
Lets's calculate LCM of 417,420
| 3 | 417, 420 |
| 139, 140 |
∴ So the LCM of the given numbers is 3 x 139 x 140 = 58380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58380
Therefore, the GCF of Fractions 6885/417,9016/420 is 1/58380
Least Common Multiple of 417,420 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 417,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,420) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,420) x common factors =3 x 1 = 3
LCM(417,420) = ( 417 × 420 ) / 3
LCM(417,420) = 175140 / 3
LCM(417,420) = 58380
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FAQs on GCF of Fractions of 6885/417, 9016/420
1. What is the HCF of 6885,9016?
The HCF of 6885,9016 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 6885/417, 9016/420?
Answer: GCF of Numerators as per given numbers 6885/417, 9016/420 is
GCF of Numerators i.e. for 6885,9016 is 1
LCM of denominators i.e. for 417,420 is 58380.
Thus, GCF of Fractions is 1/58380.Finally, GCF of Fractions for 6885/417, 9016/420 is 1/58380.