Use our free GCF of Fractions Calculator tool to compute the GCF of 8/91, 17/74, 73/163, 636/781 i.e 1/857258402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8/91, 17/74, 73/163, 636/781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/91,17/74,73/163,636/781
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 8/91,17/74,73/163,636/781, numerators are 8,17,73,636
Denominators are 91,74,163,781
The GCF of 8,17,73,636 is 1 .
LCM of 91,74,163,781 is 857258402.
The greatest common factor of 8/91,17/74,73/163,636/781 = [GCF of 8,17,73,636]/[LCM of 91,74,163,781]= 1/857258402
Therefore, the GCF of 8/91,17/74,73/163,636/781 is 1/857258402.
To find the highest common factor of 8,17,73,636, we have to find the factors of both numbers and list the highest common factor.
The factors of 8 are 1, 2, 4, 8
The factors of 17 are 1, 17
The factors of 73 are 1, 73
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The HCF of 8,17,73,636 is 1.
Lets's calculate GCF of 8,17,73,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8
:1,2,4,8
Now, list down the factors of 17
:1,17
Now, list down the factors of 73
:1,73
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 8,17,73,636 . The biggest common factor number is the GCF number.
So the greatest common factor 8,17,73,636 is 1.
Lets's calculate LCM of 91,74,163,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 857258402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857258402
Therefore, the GCF of Fractions 8/91,17/74,73/163,636/781 is 1/857258402
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 91,74,163,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,74,163,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,74,163,781) x common factors =1 x 1 = 1
LCM(91,74,163,781) = ( 91 × 74 × 163 × 781 ) / 1
LCM(91,74,163,781) = 857258402 / 1
LCM(91,74,163,781) = 857258402
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8,17,73,636?
The HCF of 8,17,73,636 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 8/91, 17/74, 73/163, 636/781?
Answer: GCF of Numerators as per given numbers 8/91, 17/74, 73/163, 636/781 is
GCF of Numerators i.e. for 8,17,73,636 is 1
LCM of denominators i.e. for 91,74,163,781 is 857258402.
Thus, GCF of Fractions is 1/857258402.Finally, GCF of Fractions for 8/91, 17/74, 73/163, 636/781 is 1/857258402.