GCF of 3668/978, 9759/6568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3668/978, 9759/6568 i.e 1/3211752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3668/978, 9759/6568.
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 3668/978,9759/6568?
Given fractions are 3668/978,9759/6568
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 3668/978,9759/6568, numerators are 3668,9759
Denominators are 978,6568
The GCF of 3668,9759 is 1 .
LCM of 978,6568 is 3211752.
The greatest common factor of 3668/978,9759/6568 = [GCF of 3668,9759]/[LCM of 978,6568]= 1/3211752
Therefore, the GCF of 3668/978,9759/6568 is 1/3211752.
To find the highest common factor of 3668,9759, we have to find the factors of both numbers and list the highest common factor.
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The factors of 9759 are 1, 3, 3253, 9759
The HCF of 3668,9759 is 1.
Lets's calculate GCF of 3668,9759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3668,9759 By Matching Biggest Common Factor Method
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Now, list down the factors of 9759
:1,3,3253,9759
Greatest Common Factor
We found the factors 3668,9759 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,9759 is 1.
Lets's calculate LCM of 978,6568
| 2 | 978, 6568 |
| 489, 3284 |
∴ So the LCM of the given numbers is 2 x 489 x 3284 = 3211752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3211752
Therefore, the GCF of Fractions 3668/978,9759/6568 is 1/3211752
Least Common Multiple of 978,6568 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 978,6568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,6568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,6568) x common factors =2 x 1 = 2
LCM(978,6568) = ( 978 × 6568 ) / 2
LCM(978,6568) = 6423504 / 2
LCM(978,6568) = 3211752
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FAQs on GCF of Fractions of 3668/978, 9759/6568
1. What is the HCF of 3668,9759?
The HCF of 3668,9759 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 3668/978, 9759/6568?
Answer: GCF of Numerators as per given numbers 3668/978, 9759/6568 is
GCF of Numerators i.e. for 3668,9759 is 1
LCM of denominators i.e. for 978,6568 is 3211752.
Thus, GCF of Fractions is 1/3211752.Finally, GCF of Fractions for 3668/978, 9759/6568 is 1/3211752.