Use our free GCF of Fractions Calculator tool to compute the GCF of 67/585, 549/510, 938/308 i.e 1/3063060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/585, 549/510, 938/308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/585,549/510,938/308
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 67/585,549/510,938/308, numerators are 67,549,938
Denominators are 585,510,308
The GCF of 67,549,938 is 1 .
LCM of 585,510,308 is 3063060.
The greatest common factor of 67/585,549/510,938/308 = [GCF of 67,549,938]/[LCM of 585,510,308]= 1/3063060
Therefore, the GCF of 67/585,549/510,938/308 is 1/3063060.
To find the highest common factor of 67,549,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 549 are 1, 3, 9, 61, 183, 549
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 67,549,938 is 1.
Lets's calculate GCF of 67,549,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 67
:1,67
Now, list down the factors of 549
:1,3,9,61,183,549
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 67,549,938 . The biggest common factor number is the GCF number.
So the greatest common factor 67,549,938 is 1.
Lets's calculate LCM of 585,510,308
2 | 585, 510, 308 |
3 | 585, 255, 154 |
5 | 195, 85, 154 |
39, 17, 154 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 39 x 17 x 154 = 3063060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3063060
Therefore, the GCF of Fractions 67/585,549/510,938/308 is 1/3063060
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 585,510,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,510,308) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(585,510,308) x common factors =1 x 30 = 30
LCM(585,510,308) = ( 585 × 510 × 308 ) / 30
LCM(585,510,308) = 91891800 / 30
LCM(585,510,308) = 3063060
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 67,549,938?
The HCF of 67,549,938 is 1
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 67/585, 549/510, 938/308?
Answer: GCF of Numerators as per given numbers 67/585, 549/510, 938/308 is
GCF of Numerators i.e. for 67,549,938 is 1
LCM of denominators i.e. for 585,510,308 is 3063060.
Thus, GCF of Fractions is 1/3063060.Finally, GCF of Fractions for 67/585, 549/510, 938/308 is 1/3063060.