GCF of 2841/523, 2307/3416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2841/523, 2307/3416 i.e 3/1786568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2841/523, 2307/3416.
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 2841/523,2307/3416?
Given fractions are 2841/523,2307/3416
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 2841/523,2307/3416, numerators are 2841,2307
Denominators are 523,3416
The GCF of 2841,2307 is 3 .
LCM of 523,3416 is 1786568.
The greatest common factor of 2841/523,2307/3416 = [GCF of 2841,2307]/[LCM of 523,3416]= 3/1786568
Therefore, the GCF of 2841/523,2307/3416 is 3/1786568.
To find the highest common factor of 2841,2307, we have to find the factors of both numbers and list the highest common factor.
The factors of 2841 are 1, 3, 947, 2841
The factors of 2307 are 1, 3, 769, 2307
The HCF of 2841,2307 is 3.
Lets's calculate GCF of 2841,2307
| 3 | 2841, 2307 |
| 947, 769 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2841,2307 By Matching Biggest Common Factor Method
Now, list down the factors of 2841
:1,3,947,2841
Now, list down the factors of 2307
:1,3,769,2307
Greatest Common Factor
We found the factors 2841,2307 . The biggest common factor number is the GCF number.
So the greatest common factor 2841,2307 is 3.
Lets's calculate LCM of 523,3416
Given numbers has no common factors except 1. So, there LCM is their product i.e 1786568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1786568
Therefore, the GCF of Fractions 2841/523,2307/3416 is 3/1786568
Least Common Multiple of 523,3416 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 523,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,3416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,3416) x common factors =1 x 1 = 1
LCM(523,3416) = ( 523 × 3416 ) / 1
LCM(523,3416) = 1786568 / 1
LCM(523,3416) = 1786568
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FAQs on GCF of Fractions of 2841/523, 2307/3416
1. What is the HCF of 2841,2307?
The HCF of 2841,2307 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 2841/523, 2307/3416?
Answer: GCF of Numerators as per given numbers 2841/523, 2307/3416 is
GCF of Numerators i.e. for 2841,2307 is 3
LCM of denominators i.e. for 523,3416 is 1786568.
Thus, GCF of Fractions is 3/1786568.Finally, GCF of Fractions for 2841/523, 2307/3416 is 3/1786568.