GCF of 8921/214, 4389/158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8921/214, 4389/158 i.e 11/16906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8921/214, 4389/158.
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 8921/214,4389/158?
Given fractions are 8921/214,4389/158
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 8921/214,4389/158, numerators are 8921,4389
Denominators are 214,158
The GCF of 8921,4389 is 11 .
LCM of 214,158 is 16906.
The greatest common factor of 8921/214,4389/158 = [GCF of 8921,4389]/[LCM of 214,158]= 11/16906
Therefore, the GCF of 8921/214,4389/158 is 11/16906.
To find the highest common factor of 8921,4389, we have to find the factors of both numbers and list the highest common factor.
The factors of 8921 are 1, 11, 811, 8921
The factors of 4389 are 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389
The HCF of 8921,4389 is 11.
Lets's calculate GCF of 8921,4389
| 11 | 8921, 4389 |
| 811, 399 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8921,4389 By Matching Biggest Common Factor Method
Now, list down the factors of 8921
:1,11,811,8921
Now, list down the factors of 4389
:1,3,7,11,19,21,33,57,77,133,209,231,399,627,1463,4389
Greatest Common Factor
We found the factors 8921,4389 . The biggest common factor number is the GCF number.
So the greatest common factor 8921,4389 is 11.
Lets's calculate LCM of 214,158
| 2 | 214, 158 |
| 107, 79 |
∴ So the LCM of the given numbers is 2 x 107 x 79 = 16906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/16906
Therefore, the GCF of Fractions 8921/214,4389/158 is 11/16906
Least Common Multiple of 214,158 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 214,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,158) x common factors =2 x 1 = 2
LCM(214,158) = ( 214 × 158 ) / 2
LCM(214,158) = 33812 / 2
LCM(214,158) = 16906
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FAQs on GCF of Fractions of 8921/214, 4389/158
1. What is the HCF of 8921,4389?
The HCF of 8921,4389 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 8921/214, 4389/158?
Answer: GCF of Numerators as per given numbers 8921/214, 4389/158 is
GCF of Numerators i.e. for 8921,4389 is 11
LCM of denominators i.e. for 214,158 is 16906.
Thus, GCF of Fractions is 11/16906.Finally, GCF of Fractions for 8921/214, 4389/158 is 11/16906.