GCF of 95/471, 605/598, 568/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/471, 605/598, 568/652 i.e 1/91820508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/471, 605/598, 568/652.
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 95/471,605/598,568/652?
Given fractions are 95/471,605/598,568/652
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 95/471,605/598,568/652, numerators are 95,605,568
Denominators are 471,598,652
The GCF of 95,605,568 is 1 .
LCM of 471,598,652 is 91820508.
The greatest common factor of 95/471,605/598,568/652 = [GCF of 95,605,568]/[LCM of 471,598,652]= 1/91820508
Therefore, the GCF of 95/471,605/598,568/652 is 1/91820508.
To find the highest common factor of 95,605,568, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 605 are 1, 5, 11, 55, 121, 605
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The HCF of 95,605,568 is 1.
Lets's calculate GCF of 95,605,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,605,568 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 605
:1,5,11,55,121,605
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 95,605,568 . The biggest common factor number is the GCF number.
So the greatest common factor 95,605,568 is 1.
Lets's calculate LCM of 471,598,652
| 2 | 471, 598, 652 |
| 471, 299, 326 |
∴ So the LCM of the given numbers is 2 x 471 x 299 x 326 = 91820508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91820508
Therefore, the GCF of Fractions 95/471,605/598,568/652 is 1/91820508
Least Common Multiple of 471,598,652 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 471,598,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,598,652) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(471,598,652) x common factors =1 x 2 = 2
LCM(471,598,652) = ( 471 × 598 × 652 ) / 2
LCM(471,598,652) = 183641016 / 2
LCM(471,598,652) = 91820508
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 95/471, 605/598, 568/652
1. What is the HCF of 95,605,568?
The HCF of 95,605,568 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 95/471, 605/598, 568/652?
Answer: GCF of Numerators as per given numbers 95/471, 605/598, 568/652 is
GCF of Numerators i.e. for 95,605,568 is 1
LCM of denominators i.e. for 471,598,652 is 91820508.
Thus, GCF of Fractions is 1/91820508.Finally, GCF of Fractions for 95/471, 605/598, 568/652 is 1/91820508.