GCF of 5986/512, 4617/5498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5986/512, 4617/5498 i.e 1/1407488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5986/512, 4617/5498.
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 5986/512,4617/5498?
Given fractions are 5986/512,4617/5498
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 5986/512,4617/5498, numerators are 5986,4617
Denominators are 512,5498
The GCF of 5986,4617 is 1 .
LCM of 512,5498 is 1407488.
The greatest common factor of 5986/512,4617/5498 = [GCF of 5986,4617]/[LCM of 512,5498]= 1/1407488
Therefore, the GCF of 5986/512,4617/5498 is 1/1407488.
To find the highest common factor of 5986,4617, we have to find the factors of both numbers and list the highest common factor.
The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
The HCF of 5986,4617 is 1.
Lets's calculate GCF of 5986,4617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5986,4617 By Matching Biggest Common Factor Method
Now, list down the factors of 5986
:1,2,41,73,82,146,2993,5986
Now, list down the factors of 4617
:1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 5986,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 5986,4617 is 1.
Lets's calculate LCM of 512,5498
| 2 | 512, 5498 |
| 256, 2749 |
∴ So the LCM of the given numbers is 2 x 256 x 2749 = 1407488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1407488
Therefore, the GCF of Fractions 5986/512,4617/5498 is 1/1407488
Least Common Multiple of 512,5498 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 512,5498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,5498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,5498) x common factors =2 x 1 = 2
LCM(512,5498) = ( 512 × 5498 ) / 2
LCM(512,5498) = 2814976 / 2
LCM(512,5498) = 1407488
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FAQs on GCF of Fractions of 5986/512, 4617/5498
1. What is the HCF of 5986,4617?
The HCF of 5986,4617 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 5986/512, 4617/5498?
Answer: GCF of Numerators as per given numbers 5986/512, 4617/5498 is
GCF of Numerators i.e. for 5986,4617 is 1
LCM of denominators i.e. for 512,5498 is 1407488.
Thus, GCF of Fractions is 1/1407488.Finally, GCF of Fractions for 5986/512, 4617/5498 is 1/1407488.