GCF of 8465/228, 9664/6152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8465/228, 9664/6152 i.e 1/350664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8465/228, 9664/6152.
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 8465/228,9664/6152?
Given fractions are 8465/228,9664/6152
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 8465/228,9664/6152, numerators are 8465,9664
Denominators are 228,6152
The GCF of 8465,9664 is 1 .
LCM of 228,6152 is 350664.
The greatest common factor of 8465/228,9664/6152 = [GCF of 8465,9664]/[LCM of 228,6152]= 1/350664
Therefore, the GCF of 8465/228,9664/6152 is 1/350664.
To find the highest common factor of 8465,9664, we have to find the factors of both numbers and list the highest common factor.
The factors of 8465 are 1, 5, 1693, 8465
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The HCF of 8465,9664 is 1.
Lets's calculate GCF of 8465,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8465,9664 By Matching Biggest Common Factor Method
Now, list down the factors of 8465
:1,5,1693,8465
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 8465,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 8465,9664 is 1.
Lets's calculate LCM of 228,6152
| 2 | 228, 6152 |
| 2 | 114, 3076 |
| 57, 1538 |
∴ So the LCM of the given numbers is 2 x 2 x 57 x 1538 = 350664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/350664
Therefore, the GCF of Fractions 8465/228,9664/6152 is 1/350664
Least Common Multiple of 228,6152 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 228,6152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,6152) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(228,6152) x common factors =4 x 1 = 4
LCM(228,6152) = ( 228 × 6152 ) / 4
LCM(228,6152) = 1402656 / 4
LCM(228,6152) = 350664
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FAQs on GCF of Fractions of 8465/228, 9664/6152
1. What is the HCF of 8465,9664?
The HCF of 8465,9664 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 8465/228, 9664/6152?
Answer: GCF of Numerators as per given numbers 8465/228, 9664/6152 is
GCF of Numerators i.e. for 8465,9664 is 1
LCM of denominators i.e. for 228,6152 is 350664.
Thus, GCF of Fractions is 1/350664.Finally, GCF of Fractions for 8465/228, 9664/6152 is 1/350664.