GCF of 1606/524, 3606/5464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1606/524, 3606/5464 i.e 2/715784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1606/524, 3606/5464.
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 1606/524,3606/5464?
Given fractions are 1606/524,3606/5464
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 1606/524,3606/5464, numerators are 1606,3606
Denominators are 524,5464
The GCF of 1606,3606 is 2 .
LCM of 524,5464 is 715784.
The greatest common factor of 1606/524,3606/5464 = [GCF of 1606,3606]/[LCM of 524,5464]= 2/715784
Therefore, the GCF of 1606/524,3606/5464 is 2/715784.
To find the highest common factor of 1606,3606, we have to find the factors of both numbers and list the highest common factor.
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The factors of 3606 are 1, 2, 3, 6, 601, 1202, 1803, 3606
The HCF of 1606,3606 is 2.
Lets's calculate GCF of 1606,3606
| 2 | 1606, 3606 |
| 803, 1803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1606,3606 By Matching Biggest Common Factor Method
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Now, list down the factors of 3606
:1,2,3,6,601,1202,1803,3606
Greatest Common Factor
We found the factors 1606,3606 . The biggest common factor number is the GCF number.
So the greatest common factor 1606,3606 is 2.
Lets's calculate LCM of 524,5464
| 2 | 524, 5464 |
| 2 | 262, 2732 |
| 131, 1366 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 1366 = 715784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/715784
Therefore, the GCF of Fractions 1606/524,3606/5464 is 2/715784
Least Common Multiple of 524,5464 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 524,5464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,5464) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(524,5464) x common factors =4 x 1 = 4
LCM(524,5464) = ( 524 × 5464 ) / 4
LCM(524,5464) = 2863136 / 4
LCM(524,5464) = 715784
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FAQs on GCF of Fractions of 1606/524, 3606/5464
1. What is the HCF of 1606,3606?
The HCF of 1606,3606 is 2
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 1606/524, 3606/5464?
Answer: GCF of Numerators as per given numbers 1606/524, 3606/5464 is
GCF of Numerators i.e. for 1606,3606 is 2
LCM of denominators i.e. for 524,5464 is 715784.
Thus, GCF of Fractions is 2/715784.Finally, GCF of Fractions for 1606/524, 3606/5464 is 2/715784.