Use our free GCF of Fractions Calculator tool to compute the GCF of 59/62, 470/69, 745/289 i.e 1/1236342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/62, 470/69, 745/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/62,470/69,745/289
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 59/62,470/69,745/289, numerators are 59,470,745
Denominators are 62,69,289
The GCF of 59,470,745 is 1 .
LCM of 62,69,289 is 1236342.
The greatest common factor of 59/62,470/69,745/289 = [GCF of 59,470,745]/[LCM of 62,69,289]= 1/1236342
Therefore, the GCF of 59/62,470/69,745/289 is 1/1236342.
To find the highest common factor of 59,470,745, 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 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 745 are 1, 5, 149, 745
The HCF of 59,470,745 is 1.
Lets's calculate GCF of 59,470,745
∴ 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 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 59,470,745 . The biggest common factor number is the GCF number.
So the greatest common factor 59,470,745 is 1.
Lets's calculate LCM of 62,69,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 1236342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1236342
Therefore, the GCF of Fractions 59/62,470/69,745/289 is 1/1236342
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 62,69,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,69,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,69,289) x common factors =1 x 1 = 1
LCM(62,69,289) = ( 62 × 69 × 289 ) / 1
LCM(62,69,289) = 1236342 / 1
LCM(62,69,289) = 1236342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 59,470,745?
The HCF of 59,470,745 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 59/62, 470/69, 745/289?
Answer: GCF of Numerators as per given numbers 59/62, 470/69, 745/289 is
GCF of Numerators i.e. for 59,470,745 is 1
LCM of denominators i.e. for 62,69,289 is 1236342.
Thus, GCF of Fractions is 1/1236342.Finally, GCF of Fractions for 59/62, 470/69, 745/289 is 1/1236342.