GCF of 3573/920, 3366/4541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3573/920, 3366/4541 i.e 9/4177720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3573/920, 3366/4541.
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 3573/920,3366/4541?
Given fractions are 3573/920,3366/4541
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 3573/920,3366/4541, numerators are 3573,3366
Denominators are 920,4541
The GCF of 3573,3366 is 9 .
LCM of 920,4541 is 4177720.
The greatest common factor of 3573/920,3366/4541 = [GCF of 3573,3366]/[LCM of 920,4541]= 9/4177720
Therefore, the GCF of 3573/920,3366/4541 is 9/4177720.
To find the highest common factor of 3573,3366, we have to find the factors of both numbers and list the highest common factor.
The factors of 3573 are 1, 3, 9, 397, 1191, 3573
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The HCF of 3573,3366 is 9.
Lets's calculate GCF of 3573,3366
| 3 | 3573, 3366 |
| 3 | 1191, 1122 |
| 397, 374 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3573,3366 By Matching Biggest Common Factor Method
Now, list down the factors of 3573
:1,3,9,397,1191,3573
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Greatest Common Factor
We found the factors 3573,3366 . The biggest common factor number is the GCF number.
So the greatest common factor 3573,3366 is 9.
Lets's calculate LCM of 920,4541
Given numbers has no common factors except 1. So, there LCM is their product i.e 4177720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4177720
Therefore, the GCF of Fractions 3573/920,3366/4541 is 9/4177720
Least Common Multiple of 920,4541 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 920,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,4541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(920,4541) x common factors =1 x 1 = 1
LCM(920,4541) = ( 920 × 4541 ) / 1
LCM(920,4541) = 4177720 / 1
LCM(920,4541) = 4177720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3573/920, 3366/4541
1. What is the HCF of 3573,3366?
The HCF of 3573,3366 is 9
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 3573/920, 3366/4541?
Answer: GCF of Numerators as per given numbers 3573/920, 3366/4541 is
GCF of Numerators i.e. for 3573,3366 is 9
LCM of denominators i.e. for 920,4541 is 4177720.
Thus, GCF of Fractions is 9/4177720.Finally, GCF of Fractions for 3573/920, 3366/4541 is 9/4177720.