GCF of 4442/743, 8616/5015
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4442/743, 8616/5015 i.e 2/3726145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4442/743, 8616/5015.
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 4442/743,8616/5015?
Given fractions are 4442/743,8616/5015
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 4442/743,8616/5015, numerators are 4442,8616
Denominators are 743,5015
The GCF of 4442,8616 is 2 .
LCM of 743,5015 is 3726145.
The greatest common factor of 4442/743,8616/5015 = [GCF of 4442,8616]/[LCM of 743,5015]= 2/3726145
Therefore, the GCF of 4442/743,8616/5015 is 2/3726145.
To find the highest common factor of 4442,8616, we have to find the factors of both numbers and list the highest common factor.
The factors of 4442 are 1, 2, 2221, 4442
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The HCF of 4442,8616 is 2.
Lets's calculate GCF of 4442,8616
| 2 | 4442, 8616 |
| 2221, 4308 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4442,8616 By Matching Biggest Common Factor Method
Now, list down the factors of 4442
:1,2,2221,4442
Now, list down the factors of 8616
:1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Greatest Common Factor
We found the factors 4442,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 4442,8616 is 2.
Lets's calculate LCM of 743,5015
Given numbers has no common factors except 1. So, there LCM is their product i.e 3726145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3726145
Therefore, the GCF of Fractions 4442/743,8616/5015 is 2/3726145
Least Common Multiple of 743,5015 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 743,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,5015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,5015) x common factors =1 x 1 = 1
LCM(743,5015) = ( 743 × 5015 ) / 1
LCM(743,5015) = 3726145 / 1
LCM(743,5015) = 3726145
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FAQs on GCF of Fractions of 4442/743, 8616/5015
1. What is the HCF of 4442,8616?
The HCF of 4442,8616 is 2
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 4442/743, 8616/5015?
Answer: GCF of Numerators as per given numbers 4442/743, 8616/5015 is
GCF of Numerators i.e. for 4442,8616 is 2
LCM of denominators i.e. for 743,5015 is 3726145.
Thus, GCF of Fractions is 2/3726145.Finally, GCF of Fractions for 4442/743, 8616/5015 is 2/3726145.