GCF of 309/651, 811/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 309/651, 811/606 i.e 1/131502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 309/651, 811/606.
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 309/651,811/606?
Given fractions are 309/651,811/606
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 309/651,811/606, numerators are 309,811
Denominators are 651,606
The GCF of 309,811 is 1 .
LCM of 651,606 is 131502.
The greatest common factor of 309/651,811/606 = [GCF of 309,811]/[LCM of 651,606]= 1/131502
Therefore, the GCF of 309/651,811/606 is 1/131502.
To find the highest common factor of 309,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 309 are 1, 3, 103, 309
The factors of 811 are 1, 811
The HCF of 309,811 is 1.
Lets's calculate GCF of 309,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 309,811 By Matching Biggest Common Factor Method
Now, list down the factors of 309
:1,3,103,309
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 309,811 . The biggest common factor number is the GCF number.
So the greatest common factor 309,811 is 1.
Lets's calculate LCM of 651,606
| 3 | 651, 606 |
| 217, 202 |
∴ So the LCM of the given numbers is 3 x 217 x 202 = 131502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131502
Therefore, the GCF of Fractions 309/651,811/606 is 1/131502
Least Common Multiple of 651,606 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 651,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,606) x common factors =3 x 1 = 3
LCM(651,606) = ( 651 × 606 ) / 3
LCM(651,606) = 394506 / 3
LCM(651,606) = 131502
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FAQs on GCF of Fractions of 309/651, 811/606
1. What is the HCF of 309,811?
The HCF of 309,811 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 309/651, 811/606?
Answer: GCF of Numerators as per given numbers 309/651, 811/606 is
GCF of Numerators i.e. for 309,811 is 1
LCM of denominators i.e. for 651,606 is 131502.
Thus, GCF of Fractions is 1/131502.Finally, GCF of Fractions for 309/651, 811/606 is 1/131502.