GCF of 891/151, 216/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/151, 216/414 i.e 27/62514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/151, 216/414.
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 891/151,216/414?
Given fractions are 891/151,216/414
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 891/151,216/414, numerators are 891,216
Denominators are 151,414
The GCF of 891,216 is 27 .
LCM of 151,414 is 62514.
The greatest common factor of 891/151,216/414 = [GCF of 891,216]/[LCM of 151,414]= 27/62514
Therefore, the GCF of 891/151,216/414 is 27/62514.
To find the highest common factor of 891,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 891,216 is 27.
Lets's calculate GCF of 891,216
| 3 | 891, 216 |
| 3 | 297, 72 |
| 3 | 99, 24 |
| 33, 8 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 891,216 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 891,216 . The biggest common factor number is the GCF number.
So the greatest common factor 891,216 is 27.
Lets's calculate LCM of 151,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 62514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/62514
Therefore, the GCF of Fractions 891/151,216/414 is 27/62514
Least Common Multiple of 151,414 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 151,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,414) x common factors =1 x 1 = 1
LCM(151,414) = ( 151 × 414 ) / 1
LCM(151,414) = 62514 / 1
LCM(151,414) = 62514
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FAQs on GCF of Fractions of 891/151, 216/414
1. What is the HCF of 891,216?
The HCF of 891,216 is 27
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 891/151, 216/414?
Answer: GCF of Numerators as per given numbers 891/151, 216/414 is
GCF of Numerators i.e. for 891,216 is 27
LCM of denominators i.e. for 151,414 is 62514.
Thus, GCF of Fractions is 27/62514.Finally, GCF of Fractions for 891/151, 216/414 is 27/62514.