GCF of 2736/909, 6675/4747
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2736/909, 6675/4747 i.e 3/42723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2736/909, 6675/4747.
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 2736/909,6675/4747?
Given fractions are 2736/909,6675/4747
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 2736/909,6675/4747, numerators are 2736,6675
Denominators are 909,4747
The GCF of 2736,6675 is 3 .
LCM of 909,4747 is 42723.
The greatest common factor of 2736/909,6675/4747 = [GCF of 2736,6675]/[LCM of 909,4747]= 3/42723
Therefore, the GCF of 2736/909,6675/4747 is 3/42723.
To find the highest common factor of 2736,6675, we have to find the factors of both numbers and list the highest common factor.
The factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736
The factors of 6675 are 1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225, 6675
The HCF of 2736,6675 is 3.
Lets's calculate GCF of 2736,6675
| 3 | 2736, 6675 |
| 912, 2225 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2736,6675 By Matching Biggest Common Factor Method
Now, list down the factors of 2736
:1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736
Now, list down the factors of 6675
:1,3,5,15,25,75,89,267,445,1335,2225,6675
Greatest Common Factor
We found the factors 2736,6675 . The biggest common factor number is the GCF number.
So the greatest common factor 2736,6675 is 3.
Lets's calculate LCM of 909,4747
| 101 | 909, 4747 |
| 9, 47 |
∴ So the LCM of the given numbers is 101 x 9 x 47 = 42723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42723
Therefore, the GCF of Fractions 2736/909,6675/4747 is 3/42723
Least Common Multiple of 909,4747 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 909,4747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,4747) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(909,4747) x common factors =101 x 1 = 101
LCM(909,4747) = ( 909 × 4747 ) / 101
LCM(909,4747) = 4315023 / 101
LCM(909,4747) = 42723
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FAQs on GCF of Fractions of 2736/909, 6675/4747
1. What is the HCF of 2736,6675?
The HCF of 2736,6675 is 3
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 2736/909, 6675/4747?
Answer: GCF of Numerators as per given numbers 2736/909, 6675/4747 is
GCF of Numerators i.e. for 2736,6675 is 3
LCM of denominators i.e. for 909,4747 is 42723.
Thus, GCF of Fractions is 3/42723.Finally, GCF of Fractions for 2736/909, 6675/4747 is 3/42723.