GCF of 843/64, 309/2444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 843/64, 309/2444 i.e 3/39104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/64, 309/2444.
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 843/64,309/2444?
Given fractions are 843/64,309/2444
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 843/64,309/2444, numerators are 843,309
Denominators are 64,2444
The GCF of 843,309 is 3 .
LCM of 64,2444 is 39104.
The greatest common factor of 843/64,309/2444 = [GCF of 843,309]/[LCM of 64,2444]= 3/39104
Therefore, the GCF of 843/64,309/2444 is 3/39104.
To find the highest common factor of 843,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 843 are 1, 3, 281, 843
The factors of 309 are 1, 3, 103, 309
The HCF of 843,309 is 3.
Lets's calculate GCF of 843,309
| 3 | 843, 309 |
| 281, 103 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 843,309 By Matching Biggest Common Factor Method
Now, list down the factors of 843
:1,3,281,843
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 843,309 . The biggest common factor number is the GCF number.
So the greatest common factor 843,309 is 3.
Lets's calculate LCM of 64,2444
| 2 | 64, 2444 |
| 2 | 32, 1222 |
| 16, 611 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 611 = 39104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39104
Therefore, the GCF of Fractions 843/64,309/2444 is 3/39104
Least Common Multiple of 64,2444 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 64,2444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,2444) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,2444) x common factors =4 x 1 = 4
LCM(64,2444) = ( 64 × 2444 ) / 4
LCM(64,2444) = 156416 / 4
LCM(64,2444) = 39104
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FAQs on GCF of Fractions of 843/64, 309/2444
1. What is the HCF of 843,309?
The HCF of 843,309 is 3
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 843/64, 309/2444?
Answer: GCF of Numerators as per given numbers 843/64, 309/2444 is
GCF of Numerators i.e. for 843,309 is 3
LCM of denominators i.e. for 64,2444 is 39104.
Thus, GCF of Fractions is 3/39104.Finally, GCF of Fractions for 843/64, 309/2444 is 3/39104.