GCF of 4665/616, 3287/7362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4665/616, 3287/7362 i.e 1/2267496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4665/616, 3287/7362.
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 4665/616,3287/7362?
Given fractions are 4665/616,3287/7362
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 4665/616,3287/7362, numerators are 4665,3287
Denominators are 616,7362
The GCF of 4665,3287 is 1 .
LCM of 616,7362 is 2267496.
The greatest common factor of 4665/616,3287/7362 = [GCF of 4665,3287]/[LCM of 616,7362]= 1/2267496
Therefore, the GCF of 4665/616,3287/7362 is 1/2267496.
To find the highest common factor of 4665,3287, we have to find the factors of both numbers and list the highest common factor.
The factors of 4665 are 1, 3, 5, 15, 311, 933, 1555, 4665
The factors of 3287 are 1, 19, 173, 3287
The HCF of 4665,3287 is 1.
Lets's calculate GCF of 4665,3287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4665,3287 By Matching Biggest Common Factor Method
Now, list down the factors of 4665
:1,3,5,15,311,933,1555,4665
Now, list down the factors of 3287
:1,19,173,3287
Greatest Common Factor
We found the factors 4665,3287 . The biggest common factor number is the GCF number.
So the greatest common factor 4665,3287 is 1.
Lets's calculate LCM of 616,7362
| 2 | 616, 7362 |
| 308, 3681 |
∴ So the LCM of the given numbers is 2 x 308 x 3681 = 2267496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2267496
Therefore, the GCF of Fractions 4665/616,3287/7362 is 1/2267496
Least Common Multiple of 616,7362 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 616,7362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,7362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,7362) x common factors =2 x 1 = 2
LCM(616,7362) = ( 616 × 7362 ) / 2
LCM(616,7362) = 4534992 / 2
LCM(616,7362) = 2267496
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FAQs on GCF of Fractions of 4665/616, 3287/7362
1. What is the HCF of 4665,3287?
The HCF of 4665,3287 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 4665/616, 3287/7362?
Answer: GCF of Numerators as per given numbers 4665/616, 3287/7362 is
GCF of Numerators i.e. for 4665,3287 is 1
LCM of denominators i.e. for 616,7362 is 2267496.
Thus, GCF of Fractions is 1/2267496.Finally, GCF of Fractions for 4665/616, 3287/7362 is 1/2267496.