GCF of 5659/726, 1214/372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5659/726, 1214/372 i.e 1/45012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5659/726, 1214/372.
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 5659/726,1214/372?
Given fractions are 5659/726,1214/372
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 5659/726,1214/372, numerators are 5659,1214
Denominators are 726,372
The GCF of 5659,1214 is 1 .
LCM of 726,372 is 45012.
The greatest common factor of 5659/726,1214/372 = [GCF of 5659,1214]/[LCM of 726,372]= 1/45012
Therefore, the GCF of 5659/726,1214/372 is 1/45012.
To find the highest common factor of 5659,1214, we have to find the factors of both numbers and list the highest common factor.
The factors of 5659 are 1, 5659
The factors of 1214 are 1, 2, 607, 1214
The HCF of 5659,1214 is 1.
Lets's calculate GCF of 5659,1214
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5659,1214 By Matching Biggest Common Factor Method
Now, list down the factors of 5659
:1,5659
Now, list down the factors of 1214
:1,2,607,1214
Greatest Common Factor
We found the factors 5659,1214 . The biggest common factor number is the GCF number.
So the greatest common factor 5659,1214 is 1.
Lets's calculate LCM of 726,372
| 2 | 726, 372 |
| 3 | 363, 186 |
| 121, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 121 x 62 = 45012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45012
Therefore, the GCF of Fractions 5659/726,1214/372 is 1/45012
Least Common Multiple of 726,372 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 726,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,372) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(726,372) x common factors =6 x 1 = 6
LCM(726,372) = ( 726 × 372 ) / 6
LCM(726,372) = 270072 / 6
LCM(726,372) = 45012
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FAQs on GCF of Fractions of 5659/726, 1214/372
1. What is the HCF of 5659,1214?
The HCF of 5659,1214 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 5659/726, 1214/372?
Answer: GCF of Numerators as per given numbers 5659/726, 1214/372 is
GCF of Numerators i.e. for 5659,1214 is 1
LCM of denominators i.e. for 726,372 is 45012.
Thus, GCF of Fractions is 1/45012.Finally, GCF of Fractions for 5659/726, 1214/372 is 1/45012.