Use our free GCF of Fractions Calculator tool to compute the GCF of 60/59, 978/53, 274/247 i.e 2/772369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/59, 978/53, 274/247.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/59,978/53,274/247
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 60/59,978/53,274/247, numerators are 60,978,274
Denominators are 59,53,247
The GCF of 60,978,274 is 2 .
LCM of 59,53,247 is 772369.
The greatest common factor of 60/59,978/53,274/247 = [GCF of 60,978,274]/[LCM of 59,53,247]= 2/772369
Therefore, the GCF of 60/59,978/53,274/247 is 2/772369.
To find the highest common factor of 60,978,274, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978
The factors of 274 are 1, 2, 137, 274
The HCF of 60,978,274 is 2.
Lets's calculate GCF of 60,978,274
2 | 60, 978, 274 |
30, 489, 137 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 978
:1,2,3,6,163,326,489,978
Now, list down the factors of 274
:1,2,137,274
Greatest Common Factor
We found the factors 60,978,274 . The biggest common factor number is the GCF number.
So the greatest common factor 60,978,274 is 2.
Lets's calculate LCM of 59,53,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 772369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/772369
Therefore, the GCF of Fractions 60/59,978/53,274/247 is 2/772369
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 59,53,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,53,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,53,247) x common factors =1 x 1 = 1
LCM(59,53,247) = ( 59 × 53 × 247 ) / 1
LCM(59,53,247) = 772369 / 1
LCM(59,53,247) = 772369
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 60,978,274?
The HCF of 60,978,274 is 2
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 60/59, 978/53, 274/247?
Answer: GCF of Numerators as per given numbers 60/59, 978/53, 274/247 is
GCF of Numerators i.e. for 60,978,274 is 2
LCM of denominators i.e. for 59,53,247 is 772369.
Thus, GCF of Fractions is 2/772369.Finally, GCF of Fractions for 60/59, 978/53, 274/247 is 2/772369.