GCF of 968/664, 9582/679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 968/664, 9582/679 i.e 2/450856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/664, 9582/679.
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 968/664,9582/679?
Given fractions are 968/664,9582/679
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 968/664,9582/679, numerators are 968,9582
Denominators are 664,679
The GCF of 968,9582 is 2 .
LCM of 664,679 is 450856.
The greatest common factor of 968/664,9582/679 = [GCF of 968,9582]/[LCM of 664,679]= 2/450856
Therefore, the GCF of 968/664,9582/679 is 2/450856.
To find the highest common factor of 968,9582, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582
The HCF of 968,9582 is 2.
Lets's calculate GCF of 968,9582
| 2 | 968, 9582 |
| 484, 4791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 968,9582 By Matching Biggest Common Factor Method
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 9582
:1,2,3,6,1597,3194,4791,9582
Greatest Common Factor
We found the factors 968,9582 . The biggest common factor number is the GCF number.
So the greatest common factor 968,9582 is 2.
Lets's calculate LCM of 664,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 450856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/450856
Therefore, the GCF of Fractions 968/664,9582/679 is 2/450856
Least Common Multiple of 664,679 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 664,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,679) x common factors =1 x 1 = 1
LCM(664,679) = ( 664 × 679 ) / 1
LCM(664,679) = 450856 / 1
LCM(664,679) = 450856
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 968/664, 9582/679
1. What is the HCF of 968,9582?
The HCF of 968,9582 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 968/664, 9582/679?
Answer: GCF of Numerators as per given numbers 968/664, 9582/679 is
GCF of Numerators i.e. for 968,9582 is 2
LCM of denominators i.e. for 664,679 is 450856.
Thus, GCF of Fractions is 2/450856.Finally, GCF of Fractions for 968/664, 9582/679 is 2/450856.