GCF of 4446/760, 9873/3917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4446/760, 9873/3917 i.e 9/2976920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4446/760, 9873/3917.
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 4446/760,9873/3917?
Given fractions are 4446/760,9873/3917
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 4446/760,9873/3917, numerators are 4446,9873
Denominators are 760,3917
The GCF of 4446,9873 is 9 .
LCM of 760,3917 is 2976920.
The greatest common factor of 4446/760,9873/3917 = [GCF of 4446,9873]/[LCM of 760,3917]= 9/2976920
Therefore, the GCF of 4446/760,9873/3917 is 9/2976920.
To find the highest common factor of 4446,9873, 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 9873 are 1, 3, 9, 1097, 3291, 9873
The HCF of 4446,9873 is 9.
Lets's calculate GCF of 4446,9873
| 3 | 4446, 9873 |
| 3 | 1482, 3291 |
| 494, 1097 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4446,9873 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 9873
:1,3,9,1097,3291,9873
Greatest Common Factor
We found the factors 4446,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 4446,9873 is 9.
Lets's calculate LCM of 760,3917
Given numbers has no common factors except 1. So, there LCM is their product i.e 2976920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2976920
Therefore, the GCF of Fractions 4446/760,9873/3917 is 9/2976920
Least Common Multiple of 760,3917 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 760,3917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,3917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,3917) x common factors =1 x 1 = 1
LCM(760,3917) = ( 760 × 3917 ) / 1
LCM(760,3917) = 2976920 / 1
LCM(760,3917) = 2976920
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FAQs on GCF of Fractions of 4446/760, 9873/3917
1. What is the HCF of 4446,9873?
The HCF of 4446,9873 is 9
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 4446/760, 9873/3917?
Answer: GCF of Numerators as per given numbers 4446/760, 9873/3917 is
GCF of Numerators i.e. for 4446,9873 is 9
LCM of denominators i.e. for 760,3917 is 2976920.
Thus, GCF of Fractions is 9/2976920.Finally, GCF of Fractions for 4446/760, 9873/3917 is 9/2976920.