GCF of 4836/237, 3627/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4836/237, 3627/440 i.e 1209/104280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4836/237, 3627/440.
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 4836/237,3627/440?
Given fractions are 4836/237,3627/440
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 4836/237,3627/440, numerators are 4836,3627
Denominators are 237,440
The GCF of 4836,3627 is 1209 .
LCM of 237,440 is 104280.
The greatest common factor of 4836/237,3627/440 = [GCF of 4836,3627]/[LCM of 237,440]= 1209/104280
Therefore, the GCF of 4836/237,3627/440 is 1209/104280.
To find the highest common factor of 4836,3627, we have to find the factors of both numbers and list the highest common factor.
The factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836
The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
The HCF of 4836,3627 is 1209.
Lets's calculate GCF of 4836,3627
| 3 | 4836, 3627 |
| 13 | 1612, 1209 |
| 31 | 124, 93 |
| 4, 3 |
∴ So the GCF of the given numbers is 3 x 13 x 31 = 1209
Greatest Common Factor of 4836,3627 By Matching Biggest Common Factor Method
Now, list down the factors of 4836
:1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Now, list down the factors of 3627
:1,3,9,13,31,39,93,117,279,403,1209,3627
Greatest Common Factor
We found the factors 4836,3627 . The biggest common factor number is the GCF number.
So the greatest common factor 4836,3627 is 1209.
Lets's calculate LCM of 237,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 104280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1209/104280
Therefore, the GCF of Fractions 4836/237,3627/440 is 1209/104280
Least Common Multiple of 237,440 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 237,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,440) x common factors =1 x 1 = 1
LCM(237,440) = ( 237 × 440 ) / 1
LCM(237,440) = 104280 / 1
LCM(237,440) = 104280
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FAQs on GCF of Fractions of 4836/237, 3627/440
1. What is the HCF of 4836,3627?
The HCF of 4836,3627 is 1209
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 4836/237, 3627/440?
Answer: GCF of Numerators as per given numbers 4836/237, 3627/440 is
GCF of Numerators i.e. for 4836,3627 is 1209
LCM of denominators i.e. for 237,440 is 104280.
Thus, GCF of Fractions is 1209/104280.Finally, GCF of Fractions for 4836/237, 3627/440 is 1209/104280.