GCF of 2316/341, 2673/3462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2316/341, 2673/3462 i.e 3/1180542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2316/341, 2673/3462.
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 2316/341,2673/3462?
Given fractions are 2316/341,2673/3462
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 2316/341,2673/3462, numerators are 2316,2673
Denominators are 341,3462
The GCF of 2316,2673 is 3 .
LCM of 341,3462 is 1180542.
The greatest common factor of 2316/341,2673/3462 = [GCF of 2316,2673]/[LCM of 341,3462]= 3/1180542
Therefore, the GCF of 2316/341,2673/3462 is 3/1180542.
To find the highest common factor of 2316,2673, we have to find the factors of both numbers and list the highest common factor.
The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
The factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673
The HCF of 2316,2673 is 3.
Lets's calculate GCF of 2316,2673
| 3 | 2316, 2673 |
| 772, 891 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2316,2673 By Matching Biggest Common Factor Method
Now, list down the factors of 2316
:1,2,3,4,6,12,193,386,579,772,1158,2316
Now, list down the factors of 2673
:1,3,9,11,27,33,81,99,243,297,891,2673
Greatest Common Factor
We found the factors 2316,2673 . The biggest common factor number is the GCF number.
So the greatest common factor 2316,2673 is 3.
Lets's calculate LCM of 341,3462
Given numbers has no common factors except 1. So, there LCM is their product i.e 1180542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1180542
Therefore, the GCF of Fractions 2316/341,2673/3462 is 3/1180542
Least Common Multiple of 341,3462 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 341,3462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,3462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,3462) x common factors =1 x 1 = 1
LCM(341,3462) = ( 341 × 3462 ) / 1
LCM(341,3462) = 1180542 / 1
LCM(341,3462) = 1180542
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FAQs on GCF of Fractions of 2316/341, 2673/3462
1. What is the HCF of 2316,2673?
The HCF of 2316,2673 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 2316/341, 2673/3462?
Answer: GCF of Numerators as per given numbers 2316/341, 2673/3462 is
GCF of Numerators i.e. for 2316,2673 is 3
LCM of denominators i.e. for 341,3462 is 1180542.
Thus, GCF of Fractions is 3/1180542.Finally, GCF of Fractions for 2316/341, 2673/3462 is 3/1180542.