Use our free GCF of Fractions Calculator tool to compute the GCF of 59/334, 78/847, 830/442 i.e 1/62520458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/334, 78/847, 830/442.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/334,78/847,830/442
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 59/334,78/847,830/442, numerators are 59,78,830
Denominators are 334,847,442
The GCF of 59,78,830 is 1 .
LCM of 334,847,442 is 62520458.
The greatest common factor of 59/334,78/847,830/442 = [GCF of 59,78,830]/[LCM of 334,847,442]= 1/62520458
Therefore, the GCF of 59/334,78/847,830/442 is 1/62520458.
To find the highest common factor of 59,78,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 59,78,830 is 1.
Lets's calculate GCF of 59,78,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 59
:1,59
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 59,78,830 . The biggest common factor number is the GCF number.
So the greatest common factor 59,78,830 is 1.
Lets's calculate LCM of 334,847,442
2 | 334, 847, 442 |
167, 847, 221 |
∴ So the LCM of the given numbers is 2 x 167 x 847 x 221 = 62520458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62520458
Therefore, the GCF of Fractions 59/334,78/847,830/442 is 1/62520458
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 334,847,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,847,442) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(334,847,442) x common factors =1 x 2 = 2
LCM(334,847,442) = ( 334 × 847 × 442 ) / 2
LCM(334,847,442) = 125040916 / 2
LCM(334,847,442) = 62520458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 59,78,830?
The HCF of 59,78,830 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 59/334, 78/847, 830/442?
Answer: GCF of Numerators as per given numbers 59/334, 78/847, 830/442 is
GCF of Numerators i.e. for 59,78,830 is 1
LCM of denominators i.e. for 334,847,442 is 62520458.
Thus, GCF of Fractions is 1/62520458.Finally, GCF of Fractions for 59/334, 78/847, 830/442 is 1/62520458.