GCF of 601/542, 423/642, 470/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 601/542, 423/642, 470/609 i.e 1/35318346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 601/542, 423/642, 470/609.
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 601/542,423/642,470/609?
Given fractions are 601/542,423/642,470/609
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 601/542,423/642,470/609, numerators are 601,423,470
Denominators are 542,642,609
The GCF of 601,423,470 is 1 .
LCM of 542,642,609 is 35318346.
The greatest common factor of 601/542,423/642,470/609 = [GCF of 601,423,470]/[LCM of 542,642,609]= 1/35318346
Therefore, the GCF of 601/542,423/642,470/609 is 1/35318346.
To find the highest common factor of 601,423,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 601 are 1, 601
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 601,423,470 is 1.
Lets's calculate GCF of 601,423,470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 601,423,470 By Matching Biggest Common Factor Method
Now, list down the factors of 601
:1,601
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 601,423,470 . The biggest common factor number is the GCF number.
So the greatest common factor 601,423,470 is 1.
Lets's calculate LCM of 542,642,609
| 2 | 542, 642, 609 |
| 3 | 271, 321, 609 |
| 271, 107, 203 |
∴ So the LCM of the given numbers is 2 x 3 x 271 x 107 x 203 = 35318346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35318346
Therefore, the GCF of Fractions 601/542,423/642,470/609 is 1/35318346
Least Common Multiple of 542,642,609 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 542,642,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,642,609) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(542,642,609) x common factors =1 x 6 = 6
LCM(542,642,609) = ( 542 × 642 × 609 ) / 6
LCM(542,642,609) = 211910076 / 6
LCM(542,642,609) = 35318346
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FAQs on GCF of Fractions of 601/542, 423/642, 470/609
1. What is the HCF of 601,423,470?
The HCF of 601,423,470 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 601/542, 423/642, 470/609?
Answer: GCF of Numerators as per given numbers 601/542, 423/642, 470/609 is
GCF of Numerators i.e. for 601,423,470 is 1
LCM of denominators i.e. for 542,642,609 is 35318346.
Thus, GCF of Fractions is 1/35318346.Finally, GCF of Fractions for 601/542, 423/642, 470/609 is 1/35318346.