GCF of 562/402, 405/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 562/402, 405/666 i.e 1/44622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/402, 405/666.
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 562/402,405/666?
Given fractions are 562/402,405/666
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 562/402,405/666, numerators are 562,405
Denominators are 402,666
The GCF of 562,405 is 1 .
LCM of 402,666 is 44622.
The greatest common factor of 562/402,405/666 = [GCF of 562,405]/[LCM of 402,666]= 1/44622
Therefore, the GCF of 562/402,405/666 is 1/44622.
To find the highest common factor of 562,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 562 are 1, 2, 281, 562
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 562,405 is 1.
Lets's calculate GCF of 562,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 562,405 By Matching Biggest Common Factor Method
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 562,405 . The biggest common factor number is the GCF number.
So the greatest common factor 562,405 is 1.
Lets's calculate LCM of 402,666
| 2 | 402, 666 |
| 3 | 201, 333 |
| 67, 111 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 111 = 44622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44622
Therefore, the GCF of Fractions 562/402,405/666 is 1/44622
Least Common Multiple of 402,666 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 402,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,666) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,666) x common factors =6 x 1 = 6
LCM(402,666) = ( 402 × 666 ) / 6
LCM(402,666) = 267732 / 6
LCM(402,666) = 44622
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FAQs on GCF of Fractions of 562/402, 405/666
1. What is the HCF of 562,405?
The HCF of 562,405 is 1
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 562/402, 405/666?
Answer: GCF of Numerators as per given numbers 562/402, 405/666 is
GCF of Numerators i.e. for 562,405 is 1
LCM of denominators i.e. for 402,666 is 44622.
Thus, GCF of Fractions is 1/44622.Finally, GCF of Fractions for 562/402, 405/666 is 1/44622.