GCF of 2727/424, 4662/9601
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2727/424, 4662/9601 i.e 9/4070824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2727/424, 4662/9601.
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 2727/424,4662/9601?
Given fractions are 2727/424,4662/9601
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 2727/424,4662/9601, numerators are 2727,4662
Denominators are 424,9601
The GCF of 2727,4662 is 9 .
LCM of 424,9601 is 4070824.
The greatest common factor of 2727/424,4662/9601 = [GCF of 2727,4662]/[LCM of 424,9601]= 9/4070824
Therefore, the GCF of 2727/424,4662/9601 is 9/4070824.
To find the highest common factor of 2727,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 2727 are 1, 3, 9, 27, 101, 303, 909, 2727
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 2727,4662 is 9.
Lets's calculate GCF of 2727,4662
| 3 | 2727, 4662 |
| 3 | 909, 1554 |
| 303, 518 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2727,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 2727
:1,3,9,27,101,303,909,2727
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 2727,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 2727,4662 is 9.
Lets's calculate LCM of 424,9601
Given numbers has no common factors except 1. So, there LCM is their product i.e 4070824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4070824
Therefore, the GCF of Fractions 2727/424,4662/9601 is 9/4070824
Least Common Multiple of 424,9601 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 424,9601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,9601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,9601) x common factors =1 x 1 = 1
LCM(424,9601) = ( 424 × 9601 ) / 1
LCM(424,9601) = 4070824 / 1
LCM(424,9601) = 4070824
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2727/424, 4662/9601
1. What is the HCF of 2727,4662?
The HCF of 2727,4662 is 9
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 2727/424, 4662/9601?
Answer: GCF of Numerators as per given numbers 2727/424, 4662/9601 is
GCF of Numerators i.e. for 2727,4662 is 9
LCM of denominators i.e. for 424,9601 is 4070824.
Thus, GCF of Fractions is 9/4070824.Finally, GCF of Fractions for 2727/424, 4662/9601 is 9/4070824.