GCF of 3598/288, 7668/8906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3598/288, 7668/8906 i.e 2/1282464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3598/288, 7668/8906.
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 3598/288,7668/8906?
Given fractions are 3598/288,7668/8906
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 3598/288,7668/8906, numerators are 3598,7668
Denominators are 288,8906
The GCF of 3598,7668 is 2 .
LCM of 288,8906 is 1282464.
The greatest common factor of 3598/288,7668/8906 = [GCF of 3598,7668]/[LCM of 288,8906]= 2/1282464
Therefore, the GCF of 3598/288,7668/8906 is 2/1282464.
To find the highest common factor of 3598,7668, we have to find the factors of both numbers and list the highest common factor.
The factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The HCF of 3598,7668 is 2.
Lets's calculate GCF of 3598,7668
| 2 | 3598, 7668 |
| 1799, 3834 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3598,7668 By Matching Biggest Common Factor Method
Now, list down the factors of 3598
:1,2,7,14,257,514,1799,3598
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors 3598,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 3598,7668 is 2.
Lets's calculate LCM of 288,8906
| 2 | 288, 8906 |
| 144, 4453 |
∴ So the LCM of the given numbers is 2 x 144 x 4453 = 1282464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1282464
Therefore, the GCF of Fractions 3598/288,7668/8906 is 2/1282464
Least Common Multiple of 288,8906 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 288,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,8906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(288,8906) x common factors =2 x 1 = 2
LCM(288,8906) = ( 288 × 8906 ) / 2
LCM(288,8906) = 2564928 / 2
LCM(288,8906) = 1282464
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FAQs on GCF of Fractions of 3598/288, 7668/8906
1. What is the HCF of 3598,7668?
The HCF of 3598,7668 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 3598/288, 7668/8906?
Answer: GCF of Numerators as per given numbers 3598/288, 7668/8906 is
GCF of Numerators i.e. for 3598,7668 is 2
LCM of denominators i.e. for 288,8906 is 1282464.
Thus, GCF of Fractions is 2/1282464.Finally, GCF of Fractions for 3598/288, 7668/8906 is 2/1282464.