GCF of 5950/711, 8616/2087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5950/711, 8616/2087 i.e 2/1483857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5950/711, 8616/2087.
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 5950/711,8616/2087?
Given fractions are 5950/711,8616/2087
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 5950/711,8616/2087, numerators are 5950,8616
Denominators are 711,2087
The GCF of 5950,8616 is 2 .
LCM of 711,2087 is 1483857.
The greatest common factor of 5950/711,8616/2087 = [GCF of 5950,8616]/[LCM of 711,2087]= 2/1483857
Therefore, the GCF of 5950/711,8616/2087 is 2/1483857.
To find the highest common factor of 5950,8616, we have to find the factors of both numbers and list the highest common factor.
The factors of 5950 are 1, 2, 5, 7, 10, 14, 17, 25, 34, 35, 50, 70, 85, 119, 170, 175, 238, 350, 425, 595, 850, 1190, 2975, 5950
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The HCF of 5950,8616 is 2.
Lets's calculate GCF of 5950,8616
| 2 | 5950, 8616 |
| 2975, 4308 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5950,8616 By Matching Biggest Common Factor Method
Now, list down the factors of 5950
:1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950
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 5950,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,8616 is 2.
Lets's calculate LCM of 711,2087
Given numbers has no common factors except 1. So, there LCM is their product i.e 1483857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1483857
Therefore, the GCF of Fractions 5950/711,8616/2087 is 2/1483857
Least Common Multiple of 711,2087 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 711,2087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,2087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,2087) x common factors =1 x 1 = 1
LCM(711,2087) = ( 711 × 2087 ) / 1
LCM(711,2087) = 1483857 / 1
LCM(711,2087) = 1483857
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5950/711, 8616/2087
1. What is the HCF of 5950,8616?
The HCF of 5950,8616 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 5950/711, 8616/2087?
Answer: GCF of Numerators as per given numbers 5950/711, 8616/2087 is
GCF of Numerators i.e. for 5950,8616 is 2
LCM of denominators i.e. for 711,2087 is 1483857.
Thus, GCF of Fractions is 2/1483857.Finally, GCF of Fractions for 5950/711, 8616/2087 is 2/1483857.