GCF of 8839/438, 5217/664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8839/438, 5217/664 i.e 1/145416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8839/438, 5217/664.
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 8839/438,5217/664?
Given fractions are 8839/438,5217/664
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 8839/438,5217/664, numerators are 8839,5217
Denominators are 438,664
The GCF of 8839,5217 is 1 .
LCM of 438,664 is 145416.
The greatest common factor of 8839/438,5217/664 = [GCF of 8839,5217]/[LCM of 438,664]= 1/145416
Therefore, the GCF of 8839/438,5217/664 is 1/145416.
To find the highest common factor of 8839,5217, we have to find the factors of both numbers and list the highest common factor.
The factors of 8839 are 1, 8839
The factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217
The HCF of 8839,5217 is 1.
Lets's calculate GCF of 8839,5217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8839,5217 By Matching Biggest Common Factor Method
Now, list down the factors of 8839
:1,8839
Now, list down the factors of 5217
:1,3,37,47,111,141,1739,5217
Greatest Common Factor
We found the factors 8839,5217 . The biggest common factor number is the GCF number.
So the greatest common factor 8839,5217 is 1.
Lets's calculate LCM of 438,664
| 2 | 438, 664 |
| 219, 332 |
∴ So the LCM of the given numbers is 2 x 219 x 332 = 145416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145416
Therefore, the GCF of Fractions 8839/438,5217/664 is 1/145416
Least Common Multiple of 438,664 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 438,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,664) x common factors =2 x 1 = 2
LCM(438,664) = ( 438 × 664 ) / 2
LCM(438,664) = 290832 / 2
LCM(438,664) = 145416
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FAQs on GCF of Fractions of 8839/438, 5217/664
1. What is the HCF of 8839,5217?
The HCF of 8839,5217 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 8839/438, 5217/664?
Answer: GCF of Numerators as per given numbers 8839/438, 5217/664 is
GCF of Numerators i.e. for 8839,5217 is 1
LCM of denominators i.e. for 438,664 is 145416.
Thus, GCF of Fractions is 1/145416.Finally, GCF of Fractions for 8839/438, 5217/664 is 1/145416.