GCF of 7399/656, 8664/1728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7399/656, 8664/1728 i.e 1/70848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7399/656, 8664/1728.
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 7399/656,8664/1728?
Given fractions are 7399/656,8664/1728
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 7399/656,8664/1728, numerators are 7399,8664
Denominators are 656,1728
The GCF of 7399,8664 is 1 .
LCM of 656,1728 is 70848.
The greatest common factor of 7399/656,8664/1728 = [GCF of 7399,8664]/[LCM of 656,1728]= 1/70848
Therefore, the GCF of 7399/656,8664/1728 is 1/70848.
To find the highest common factor of 7399,8664, we have to find the factors of both numbers and list the highest common factor.
The factors of 7399 are 1, 7, 49, 151, 1057, 7399
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The HCF of 7399,8664 is 1.
Lets's calculate GCF of 7399,8664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7399,8664 By Matching Biggest Common Factor Method
Now, list down the factors of 7399
:1,7,49,151,1057,7399
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Greatest Common Factor
We found the factors 7399,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 7399,8664 is 1.
Lets's calculate LCM of 656,1728
| 2 | 656, 1728 |
| 2 | 328, 864 |
| 2 | 164, 432 |
| 2 | 82, 216 |
| 41, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 108 = 70848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70848
Therefore, the GCF of Fractions 7399/656,8664/1728 is 1/70848
Least Common Multiple of 656,1728 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 656,1728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,1728) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(656,1728) x common factors =16 x 1 = 16
LCM(656,1728) = ( 656 × 1728 ) / 16
LCM(656,1728) = 1133568 / 16
LCM(656,1728) = 70848
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FAQs on GCF of Fractions of 7399/656, 8664/1728
1. What is the HCF of 7399,8664?
The HCF of 7399,8664 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 7399/656, 8664/1728?
Answer: GCF of Numerators as per given numbers 7399/656, 8664/1728 is
GCF of Numerators i.e. for 7399,8664 is 1
LCM of denominators i.e. for 656,1728 is 70848.
Thus, GCF of Fractions is 1/70848.Finally, GCF of Fractions for 7399/656, 8664/1728 is 1/70848.