GCF of 3648/318, 4786/2196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3648/318, 4786/2196 i.e 2/116388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3648/318, 4786/2196.
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 3648/318,4786/2196?
Given fractions are 3648/318,4786/2196
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 3648/318,4786/2196, numerators are 3648,4786
Denominators are 318,2196
The GCF of 3648,4786 is 2 .
LCM of 318,2196 is 116388.
The greatest common factor of 3648/318,4786/2196 = [GCF of 3648,4786]/[LCM of 318,2196]= 2/116388
Therefore, the GCF of 3648/318,4786/2196 is 2/116388.
To find the highest common factor of 3648,4786, we have to find the factors of both numbers and list the highest common factor.
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The factors of 4786 are 1, 2, 2393, 4786
The HCF of 3648,4786 is 2.
Lets's calculate GCF of 3648,4786
| 2 | 3648, 4786 |
| 1824, 2393 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3648,4786 By Matching Biggest Common Factor Method
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Now, list down the factors of 4786
:1,2,2393,4786
Greatest Common Factor
We found the factors 3648,4786 . The biggest common factor number is the GCF number.
So the greatest common factor 3648,4786 is 2.
Lets's calculate LCM of 318,2196
| 2 | 318, 2196 |
| 3 | 159, 1098 |
| 53, 366 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 366 = 116388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116388
Therefore, the GCF of Fractions 3648/318,4786/2196 is 2/116388
Least Common Multiple of 318,2196 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 318,2196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,2196) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,2196) x common factors =6 x 1 = 6
LCM(318,2196) = ( 318 × 2196 ) / 6
LCM(318,2196) = 698328 / 6
LCM(318,2196) = 116388
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FAQs on GCF of Fractions of 3648/318, 4786/2196
1. What is the HCF of 3648,4786?
The HCF of 3648,4786 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 3648/318, 4786/2196?
Answer: GCF of Numerators as per given numbers 3648/318, 4786/2196 is
GCF of Numerators i.e. for 3648,4786 is 2
LCM of denominators i.e. for 318,2196 is 116388.
Thus, GCF of Fractions is 2/116388.Finally, GCF of Fractions for 3648/318, 4786/2196 is 2/116388.