GCF of 5472/378, 2643/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5472/378, 2643/591 i.e 3/74466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5472/378, 2643/591.
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 5472/378,2643/591?
Given fractions are 5472/378,2643/591
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 5472/378,2643/591, numerators are 5472,2643
Denominators are 378,591
The GCF of 5472,2643 is 3 .
LCM of 378,591 is 74466.
The greatest common factor of 5472/378,2643/591 = [GCF of 5472,2643]/[LCM of 378,591]= 3/74466
Therefore, the GCF of 5472/378,2643/591 is 3/74466.
To find the highest common factor of 5472,2643, we have to find the factors of both numbers and list the highest common factor.
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The factors of 2643 are 1, 3, 881, 2643
The HCF of 5472,2643 is 3.
Lets's calculate GCF of 5472,2643
| 3 | 5472, 2643 |
| 1824, 881 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5472,2643 By Matching Biggest Common Factor Method
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Now, list down the factors of 2643
:1,3,881,2643
Greatest Common Factor
We found the factors 5472,2643 . The biggest common factor number is the GCF number.
So the greatest common factor 5472,2643 is 3.
Lets's calculate LCM of 378,591
| 3 | 378, 591 |
| 126, 197 |
∴ So the LCM of the given numbers is 3 x 126 x 197 = 74466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74466
Therefore, the GCF of Fractions 5472/378,2643/591 is 3/74466
Least Common Multiple of 378,591 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 378,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,591) x common factors =3 x 1 = 3
LCM(378,591) = ( 378 × 591 ) / 3
LCM(378,591) = 223398 / 3
LCM(378,591) = 74466
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5472/378, 2643/591
1. What is the HCF of 5472,2643?
The HCF of 5472,2643 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 5472/378, 2643/591?
Answer: GCF of Numerators as per given numbers 5472/378, 2643/591 is
GCF of Numerators i.e. for 5472,2643 is 3
LCM of denominators i.e. for 378,591 is 74466.
Thus, GCF of Fractions is 3/74466.Finally, GCF of Fractions for 5472/378, 2643/591 is 3/74466.