Use our free GCF of Fractions Calculator tool to compute the GCF of 454/780, 719/783 i.e 1/203580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/780, 719/783.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/780,719/783
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 454/780,719/783, numerators are 454,719
Denominators are 780,783
The GCF of 454,719 is 1 .
LCM of 780,783 is 203580.
The greatest common factor of 454/780,719/783 = [GCF of 454,719]/[LCM of 780,783]= 1/203580
Therefore, the GCF of 454/780,719/783 is 1/203580.
To find the highest common factor of 454,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 719 are 1, 719
The HCF of 454,719 is 1.
Lets's calculate GCF of 454,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 454,719 . The biggest common factor number is the GCF number.
So the greatest common factor 454,719 is 1.
Lets's calculate LCM of 780,783
3 | 780, 783 |
260, 261 |
∴ So the LCM of the given numbers is 3 x 260 x 261 = 203580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203580
Therefore, the GCF of Fractions 454/780,719/783 is 1/203580
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 780,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(780,783) x common factors =3 x 1 = 3
LCM(780,783) = ( 780 × 783 ) / 3
LCM(780,783) = 610740 / 3
LCM(780,783) = 203580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 454,719?
The HCF of 454,719 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 454/780, 719/783?
Answer: GCF of Numerators as per given numbers 454/780, 719/783 is
GCF of Numerators i.e. for 454,719 is 1
LCM of denominators i.e. for 780,783 is 203580.
Thus, GCF of Fractions is 1/203580.Finally, GCF of Fractions for 454/780, 719/783 is 1/203580.