GCF of 4446/617, 9519/839
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4446/617, 9519/839 i.e 57/517663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4446/617, 9519/839.
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 4446/617,9519/839?
Given fractions are 4446/617,9519/839
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 4446/617,9519/839, numerators are 4446,9519
Denominators are 617,839
The GCF of 4446,9519 is 57 .
LCM of 617,839 is 517663.
The greatest common factor of 4446/617,9519/839 = [GCF of 4446,9519]/[LCM of 617,839]= 57/517663
Therefore, the GCF of 4446/617,9519/839 is 57/517663.
To find the highest common factor of 4446,9519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446
The factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519
The HCF of 4446,9519 is 57.
Lets's calculate GCF of 4446,9519
| 3 | 4446, 9519 |
| 19 | 1482, 3173 |
| 78, 167 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 4446,9519 By Matching Biggest Common Factor Method
Now, list down the factors of 4446
:1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Now, list down the factors of 9519
:1,3,19,57,167,501,3173,9519
Greatest Common Factor
We found the factors 4446,9519 . The biggest common factor number is the GCF number.
So the greatest common factor 4446,9519 is 57.
Lets's calculate LCM of 617,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 517663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/517663
Therefore, the GCF of Fractions 4446/617,9519/839 is 57/517663
Least Common Multiple of 617,839 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 617,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,839) x common factors =1 x 1 = 1
LCM(617,839) = ( 617 × 839 ) / 1
LCM(617,839) = 517663 / 1
LCM(617,839) = 517663
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FAQs on GCF of Fractions of 4446/617, 9519/839
1. What is the HCF of 4446,9519?
The HCF of 4446,9519 is 57
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 4446/617, 9519/839?
Answer: GCF of Numerators as per given numbers 4446/617, 9519/839 is
GCF of Numerators i.e. for 4446,9519 is 57
LCM of denominators i.e. for 617,839 is 517663.
Thus, GCF of Fractions is 57/517663.Finally, GCF of Fractions for 4446/617, 9519/839 is 57/517663.