Use our free GCF of Fractions Calculator tool to compute the GCF of 772/660, 417/372 i.e 1/20460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/660, 417/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/660,417/372
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 772/660,417/372, numerators are 772,417
Denominators are 660,372
The GCF of 772,417 is 1 .
LCM of 660,372 is 20460.
The greatest common factor of 772/660,417/372 = [GCF of 772,417]/[LCM of 660,372]= 1/20460
Therefore, the GCF of 772/660,417/372 is 1/20460.
To find the highest common factor of 772,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 417 are 1, 3, 139, 417
The HCF of 772,417 is 1.
Lets's calculate GCF of 772,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 772
:1,2,4,193,386,772
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 772,417 . The biggest common factor number is the GCF number.
So the greatest common factor 772,417 is 1.
Lets's calculate LCM of 660,372
2 | 660, 372 |
2 | 330, 186 |
3 | 165, 93 |
55, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 55 x 31 = 20460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20460
Therefore, the GCF of Fractions 772/660,417/372 is 1/20460
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 660,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,372) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(660,372) x common factors =12 x 1 = 12
LCM(660,372) = ( 660 × 372 ) / 12
LCM(660,372) = 245520 / 12
LCM(660,372) = 20460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,417?
The HCF of 772,417 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 772/660, 417/372?
Answer: GCF of Numerators as per given numbers 772/660, 417/372 is
GCF of Numerators i.e. for 772,417 is 1
LCM of denominators i.e. for 660,372 is 20460.
Thus, GCF of Fractions is 1/20460.Finally, GCF of Fractions for 772/660, 417/372 is 1/20460.