GCF of 564/717, 9758/9702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 564/717, 9758/9702 i.e 2/2318778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/717, 9758/9702.
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 564/717,9758/9702?
Given fractions are 564/717,9758/9702
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 564/717,9758/9702, numerators are 564,9758
Denominators are 717,9702
The GCF of 564,9758 is 2 .
LCM of 717,9702 is 2318778.
The greatest common factor of 564/717,9758/9702 = [GCF of 564,9758]/[LCM of 717,9702]= 2/2318778
Therefore, the GCF of 564/717,9758/9702 is 2/2318778.
To find the highest common factor of 564,9758, we have to find the factors of both numbers and list the highest common factor.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The HCF of 564,9758 is 2.
Lets's calculate GCF of 564,9758
| 2 | 564, 9758 |
| 282, 4879 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 564,9758 By Matching Biggest Common Factor Method
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors 564,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 564,9758 is 2.
Lets's calculate LCM of 717,9702
| 3 | 717, 9702 |
| 239, 3234 |
∴ So the LCM of the given numbers is 3 x 239 x 3234 = 2318778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2318778
Therefore, the GCF of Fractions 564/717,9758/9702 is 2/2318778
Least Common Multiple of 717,9702 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 717,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,9702) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,9702) x common factors =3 x 1 = 3
LCM(717,9702) = ( 717 × 9702 ) / 3
LCM(717,9702) = 6956334 / 3
LCM(717,9702) = 2318778
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 564/717, 9758/9702
1. What is the HCF of 564,9758?
The HCF of 564,9758 is 2
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 564/717, 9758/9702?
Answer: GCF of Numerators as per given numbers 564/717, 9758/9702 is
GCF of Numerators i.e. for 564,9758 is 2
LCM of denominators i.e. for 717,9702 is 2318778.
Thus, GCF of Fractions is 2/2318778.Finally, GCF of Fractions for 564/717, 9758/9702 is 2/2318778.