Use our free GCF of Fractions Calculator tool to compute the GCF of 9/59, 89/67, 79/535, 345/350 i.e 1/148039850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/59, 89/67, 79/535, 345/350.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/59,89/67,79/535,345/350
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 9/59,89/67,79/535,345/350, numerators are 9,89,79,345
Denominators are 59,67,535,350
The GCF of 9,89,79,345 is 1 .
LCM of 59,67,535,350 is 148039850.
The greatest common factor of 9/59,89/67,79/535,345/350 = [GCF of 9,89,79,345]/[LCM of 59,67,535,350]= 1/148039850
Therefore, the GCF of 9/59,89/67,79/535,345/350 is 1/148039850.
To find the highest common factor of 9,89,79,345, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 89 are 1, 89
The factors of 79 are 1, 79
The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345
The HCF of 9,89,79,345 is 1.
Lets's calculate GCF of 9,89,79,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 89
:1,89
Now, list down the factors of 79
:1,79
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 9,89,79,345 . The biggest common factor number is the GCF number.
So the greatest common factor 9,89,79,345 is 1.
Lets's calculate LCM of 59,67,535,350
5 | 59, 67, 535, 350 |
59, 67, 107, 70 |
∴ So the LCM of the given numbers is 5 x 59 x 67 x 107 x 70 = 148039850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148039850
Therefore, the GCF of Fractions 9/59,89/67,79/535,345/350 is 1/148039850
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 59,67,535,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,67,535,350) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(59,67,535,350) x common factors =1 x 5 = 5
LCM(59,67,535,350) = ( 59 × 67 × 535 × 350 ) / 5
LCM(59,67,535,350) = 740199250 / 5
LCM(59,67,535,350) = 148039850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,89,79,345?
The HCF of 9,89,79,345 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 9/59, 89/67, 79/535, 345/350?
Answer: GCF of Numerators as per given numbers 9/59, 89/67, 79/535, 345/350 is
GCF of Numerators i.e. for 9,89,79,345 is 1
LCM of denominators i.e. for 59,67,535,350 is 148039850.
Thus, GCF of Fractions is 1/148039850.Finally, GCF of Fractions for 9/59, 89/67, 79/535, 345/350 is 1/148039850.