Use our free GCF of Fractions Calculator tool to compute the GCF of 30/547, 18/316, 810/278 i.e 6/24026428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/547, 18/316, 810/278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/547,18/316,810/278
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 30/547,18/316,810/278, numerators are 30,18,810
Denominators are 547,316,278
The GCF of 30,18,810 is 6 .
LCM of 547,316,278 is 24026428.
The greatest common factor of 30/547,18/316,810/278 = [GCF of 30,18,810]/[LCM of 547,316,278]= 6/24026428
Therefore, the GCF of 30/547,18/316,810/278 is 6/24026428.
To find the highest common factor of 30,18,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 30,18,810 is 6.
Lets's calculate GCF of 30,18,810
2 | 30, 18, 810 |
3 | 15, 9, 405 |
5, 3, 135 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 30,18,810 . The biggest common factor number is the GCF number.
So the greatest common factor 30,18,810 is 6.
Lets's calculate LCM of 547,316,278
2 | 547, 316, 278 |
547, 158, 139 |
∴ So the LCM of the given numbers is 2 x 547 x 158 x 139 = 24026428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/24026428
Therefore, the GCF of Fractions 30/547,18/316,810/278 is 6/24026428
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 547,316,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,316,278) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(547,316,278) x common factors =1 x 2 = 2
LCM(547,316,278) = ( 547 × 316 × 278 ) / 2
LCM(547,316,278) = 48052856 / 2
LCM(547,316,278) = 24026428
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 30,18,810?
The HCF of 30,18,810 is 6
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 30/547, 18/316, 810/278?
Answer: GCF of Numerators as per given numbers 30/547, 18/316, 810/278 is
GCF of Numerators i.e. for 30,18,810 is 6
LCM of denominators i.e. for 547,316,278 is 24026428.
Thus, GCF of Fractions is 6/24026428.Finally, GCF of Fractions for 30/547, 18/316, 810/278 is 6/24026428.