GCF of 18/34, 562/29, 717/756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/34, 562/29, 717/756 i.e 1/372708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/34, 562/29, 717/756.
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 18/34,562/29,717/756?
Given fractions are 18/34,562/29,717/756
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 18/34,562/29,717/756, numerators are 18,562,717
Denominators are 34,29,756
The GCF of 18,562,717 is 1 .
LCM of 34,29,756 is 372708.
The greatest common factor of 18/34,562/29,717/756 = [GCF of 18,562,717]/[LCM of 34,29,756]= 1/372708
Therefore, the GCF of 18/34,562/29,717/756 is 1/372708.
To find the highest common factor of 18,562,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 562 are 1, 2, 281, 562
The factors of 717 are 1, 3, 239, 717
The HCF of 18,562,717 is 1.
Lets's calculate GCF of 18,562,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,562,717 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 562
:1,2,281,562
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 18,562,717 . The biggest common factor number is the GCF number.
So the greatest common factor 18,562,717 is 1.
Lets's calculate LCM of 34,29,756
| 2 | 34, 29, 756 |
| 17, 29, 378 |
∴ So the LCM of the given numbers is 2 x 17 x 29 x 378 = 372708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372708
Therefore, the GCF of Fractions 18/34,562/29,717/756 is 1/372708
Least Common Multiple of 34,29,756 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 34,29,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,29,756) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(34,29,756) x common factors =1 x 2 = 2
LCM(34,29,756) = ( 34 × 29 × 756 ) / 2
LCM(34,29,756) = 745416 / 2
LCM(34,29,756) = 372708
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FAQs on GCF of Fractions of 18/34, 562/29, 717/756
1. What is the HCF of 18,562,717?
The HCF of 18,562,717 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 18/34, 562/29, 717/756?
Answer: GCF of Numerators as per given numbers 18/34, 562/29, 717/756 is
GCF of Numerators i.e. for 18,562,717 is 1
LCM of denominators i.e. for 34,29,756 is 372708.
Thus, GCF of Fractions is 1/372708.Finally, GCF of Fractions for 18/34, 562/29, 717/756 is 1/372708.