GCF of 943/462, 299/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 943/462, 299/312 i.e 23/24024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/462, 299/312.
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 943/462,299/312?
Given fractions are 943/462,299/312
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 943/462,299/312, numerators are 943,299
Denominators are 462,312
The GCF of 943,299 is 23 .
LCM of 462,312 is 24024.
The greatest common factor of 943/462,299/312 = [GCF of 943,299]/[LCM of 462,312]= 23/24024
Therefore, the GCF of 943/462,299/312 is 23/24024.
To find the highest common factor of 943,299, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 299 are 1, 13, 23, 299
The HCF of 943,299 is 23.
Lets's calculate GCF of 943,299
| 23 | 943, 299 |
| 41, 13 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 943,299 By Matching Biggest Common Factor Method
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 299
:1,13,23,299
Greatest Common Factor
We found the factors 943,299 . The biggest common factor number is the GCF number.
So the greatest common factor 943,299 is 23.
Lets's calculate LCM of 462,312
| 2 | 462, 312 |
| 3 | 231, 156 |
| 77, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 52 = 24024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/24024
Therefore, the GCF of Fractions 943/462,299/312 is 23/24024
Least Common Multiple of 462,312 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 462,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,312) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,312) x common factors =6 x 1 = 6
LCM(462,312) = ( 462 × 312 ) / 6
LCM(462,312) = 144144 / 6
LCM(462,312) = 24024
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FAQs on GCF of Fractions of 943/462, 299/312
1. What is the HCF of 943,299?
The HCF of 943,299 is 23
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 943/462, 299/312?
Answer: GCF of Numerators as per given numbers 943/462, 299/312 is
GCF of Numerators i.e. for 943,299 is 23
LCM of denominators i.e. for 462,312 is 24024.
Thus, GCF of Fractions is 23/24024.Finally, GCF of Fractions for 943/462, 299/312 is 23/24024.