GCF of 3626/582, 5602/5699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3626/582, 5602/5699 i.e 2/3316818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3626/582, 5602/5699.
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 3626/582,5602/5699?
Given fractions are 3626/582,5602/5699
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 3626/582,5602/5699, numerators are 3626,5602
Denominators are 582,5699
The GCF of 3626,5602 is 2 .
LCM of 582,5699 is 3316818.
The greatest common factor of 3626/582,5602/5699 = [GCF of 3626,5602]/[LCM of 582,5699]= 2/3316818
Therefore, the GCF of 3626/582,5602/5699 is 2/3316818.
To find the highest common factor of 3626,5602, we have to find the factors of both numbers and list the highest common factor.
The factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626
The factors of 5602 are 1, 2, 2801, 5602
The HCF of 3626,5602 is 2.
Lets's calculate GCF of 3626,5602
| 2 | 3626, 5602 |
| 1813, 2801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3626,5602 By Matching Biggest Common Factor Method
Now, list down the factors of 3626
:1,2,7,14,37,49,74,98,259,518,1813,3626
Now, list down the factors of 5602
:1,2,2801,5602
Greatest Common Factor
We found the factors 3626,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 3626,5602 is 2.
Lets's calculate LCM of 582,5699
Given numbers has no common factors except 1. So, there LCM is their product i.e 3316818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3316818
Therefore, the GCF of Fractions 3626/582,5602/5699 is 2/3316818
Least Common Multiple of 582,5699 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 582,5699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,5699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,5699) x common factors =1 x 1 = 1
LCM(582,5699) = ( 582 × 5699 ) / 1
LCM(582,5699) = 3316818 / 1
LCM(582,5699) = 3316818
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3626/582, 5602/5699
1. What is the HCF of 3626,5602?
The HCF of 3626,5602 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 3626/582, 5602/5699?
Answer: GCF of Numerators as per given numbers 3626/582, 5602/5699 is
GCF of Numerators i.e. for 3626,5602 is 2
LCM of denominators i.e. for 582,5699 is 3316818.
Thus, GCF of Fractions is 2/3316818.Finally, GCF of Fractions for 3626/582, 5602/5699 is 2/3316818.