GCF of 5861/216, 8995/5013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5861/216, 8995/5013 i.e 1/120312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5861/216, 8995/5013.
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 5861/216,8995/5013?
Given fractions are 5861/216,8995/5013
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 5861/216,8995/5013, numerators are 5861,8995
Denominators are 216,5013
The GCF of 5861,8995 is 1 .
LCM of 216,5013 is 120312.
The greatest common factor of 5861/216,8995/5013 = [GCF of 5861,8995]/[LCM of 216,5013]= 1/120312
Therefore, the GCF of 5861/216,8995/5013 is 1/120312.
To find the highest common factor of 5861,8995, we have to find the factors of both numbers and list the highest common factor.
The factors of 5861 are 1, 5861
The factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995
The HCF of 5861,8995 is 1.
Lets's calculate GCF of 5861,8995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5861,8995 By Matching Biggest Common Factor Method
Now, list down the factors of 5861
:1,5861
Now, list down the factors of 8995
:1,5,7,35,257,1285,1799,8995
Greatest Common Factor
We found the factors 5861,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 5861,8995 is 1.
Lets's calculate LCM of 216,5013
| 3 | 216, 5013 |
| 3 | 72, 1671 |
| 24, 557 |
∴ So the LCM of the given numbers is 3 x 3 x 24 x 557 = 120312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120312
Therefore, the GCF of Fractions 5861/216,8995/5013 is 1/120312
Least Common Multiple of 216,5013 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 216,5013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,5013) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(216,5013) x common factors =9 x 1 = 9
LCM(216,5013) = ( 216 × 5013 ) / 9
LCM(216,5013) = 1082808 / 9
LCM(216,5013) = 120312
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FAQs on GCF of Fractions of 5861/216, 8995/5013
1. What is the HCF of 5861,8995?
The HCF of 5861,8995 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 5861/216, 8995/5013?
Answer: GCF of Numerators as per given numbers 5861/216, 8995/5013 is
GCF of Numerators i.e. for 5861,8995 is 1
LCM of denominators i.e. for 216,5013 is 120312.
Thus, GCF of Fractions is 1/120312.Finally, GCF of Fractions for 5861/216, 8995/5013 is 1/120312.