GCF of 9699/772, 5658/442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9699/772, 5658/442 i.e 3/170612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9699/772, 5658/442.
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 9699/772,5658/442?
Given fractions are 9699/772,5658/442
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 9699/772,5658/442, numerators are 9699,5658
Denominators are 772,442
The GCF of 9699,5658 is 3 .
LCM of 772,442 is 170612.
The greatest common factor of 9699/772,5658/442 = [GCF of 9699,5658]/[LCM of 772,442]= 3/170612
Therefore, the GCF of 9699/772,5658/442 is 3/170612.
To find the highest common factor of 9699,5658, we have to find the factors of both numbers and list the highest common factor.
The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699
The factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658
The HCF of 9699,5658 is 3.
Lets's calculate GCF of 9699,5658
| 3 | 9699, 5658 |
| 3233, 1886 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9699,5658 By Matching Biggest Common Factor Method
Now, list down the factors of 9699
:1,3,53,61,159,183,3233,9699
Now, list down the factors of 5658
:1,2,3,6,23,41,46,69,82,123,138,246,943,1886,2829,5658
Greatest Common Factor
We found the factors 9699,5658 . The biggest common factor number is the GCF number.
So the greatest common factor 9699,5658 is 3.
Lets's calculate LCM of 772,442
| 2 | 772, 442 |
| 386, 221 |
∴ So the LCM of the given numbers is 2 x 386 x 221 = 170612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/170612
Therefore, the GCF of Fractions 9699/772,5658/442 is 3/170612
Least Common Multiple of 772,442 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 772,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,442) x common factors =2 x 1 = 2
LCM(772,442) = ( 772 × 442 ) / 2
LCM(772,442) = 341224 / 2
LCM(772,442) = 170612
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9699/772, 5658/442
1. What is the HCF of 9699,5658?
The HCF of 9699,5658 is 3
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 9699/772, 5658/442?
Answer: GCF of Numerators as per given numbers 9699/772, 5658/442 is
GCF of Numerators i.e. for 9699,5658 is 3
LCM of denominators i.e. for 772,442 is 170612.
Thus, GCF of Fractions is 3/170612.Finally, GCF of Fractions for 9699/772, 5658/442 is 3/170612.