Use our free GCF of Fractions Calculator tool to compute the GCF of 963/781, 805/827 i.e 1/645887 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/781, 805/827.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 963/781,805/827
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 963/781,805/827, numerators are 963,805
Denominators are 781,827
The GCF of 963,805 is 1 .
LCM of 781,827 is 645887.
The greatest common factor of 963/781,805/827 = [GCF of 963,805]/[LCM of 781,827]= 1/645887
Therefore, the GCF of 963/781,805/827 is 1/645887.
To find the highest common factor of 963,805, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The HCF of 963,805 is 1.
Lets's calculate GCF of 963,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 963,805 . The biggest common factor number is the GCF number.
So the greatest common factor 963,805 is 1.
Lets's calculate LCM of 781,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 645887
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645887
Therefore, the GCF of Fractions 963/781,805/827 is 1/645887
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 781,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,827) x common factors =1 x 1 = 1
LCM(781,827) = ( 781 × 827 ) / 1
LCM(781,827) = 645887 / 1
LCM(781,827) = 645887
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 963,805?
The HCF of 963,805 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 963/781, 805/827?
Answer: GCF of Numerators as per given numbers 963/781, 805/827 is
GCF of Numerators i.e. for 963,805 is 1
LCM of denominators i.e. for 781,827 is 645887.
Thus, GCF of Fractions is 1/645887.Finally, GCF of Fractions for 963/781, 805/827 is 1/645887.