GCF of 6021/135, 5329/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6021/135, 5329/684 i.e 1/10260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6021/135, 5329/684.
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 6021/135,5329/684?
Given fractions are 6021/135,5329/684
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 6021/135,5329/684, numerators are 6021,5329
Denominators are 135,684
The GCF of 6021,5329 is 1 .
LCM of 135,684 is 10260.
The greatest common factor of 6021/135,5329/684 = [GCF of 6021,5329]/[LCM of 135,684]= 1/10260
Therefore, the GCF of 6021/135,5329/684 is 1/10260.
To find the highest common factor of 6021,5329, we have to find the factors of both numbers and list the highest common factor.
The factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021
The factors of 5329 are 1, 73, 5329
The HCF of 6021,5329 is 1.
Lets's calculate GCF of 6021,5329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6021,5329 By Matching Biggest Common Factor Method
Now, list down the factors of 6021
:1,3,9,27,223,669,2007,6021
Now, list down the factors of 5329
:1,73,5329
Greatest Common Factor
We found the factors 6021,5329 . The biggest common factor number is the GCF number.
So the greatest common factor 6021,5329 is 1.
Lets's calculate LCM of 135,684
| 3 | 135, 684 |
| 3 | 45, 228 |
| 15, 76 |
∴ So the LCM of the given numbers is 3 x 3 x 15 x 76 = 10260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10260
Therefore, the GCF of Fractions 6021/135,5329/684 is 1/10260
Least Common Multiple of 135,684 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 135,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,684) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(135,684) x common factors =9 x 1 = 9
LCM(135,684) = ( 135 × 684 ) / 9
LCM(135,684) = 92340 / 9
LCM(135,684) = 10260
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6021/135, 5329/684
1. What is the HCF of 6021,5329?
The HCF of 6021,5329 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 6021/135, 5329/684?
Answer: GCF of Numerators as per given numbers 6021/135, 5329/684 is
GCF of Numerators i.e. for 6021,5329 is 1
LCM of denominators i.e. for 135,684 is 10260.
Thus, GCF of Fractions is 1/10260.Finally, GCF of Fractions for 6021/135, 5329/684 is 1/10260.