Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/577,98/843,822/781
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 73,98,822
Greatest Common Factor of Numerators i.e. GCF of 73,98,822 is 1 .
LCM of Denominators means LCM of 577,843,781 as per the given fractions.
LCM of 577,843,781 is 379886991 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,98,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 73,98,822 . The biggest common factor number is the GCF number.
So the greatest common factor 73,98,822 is 1.
Lets's calculate LCM of 577,843,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 379886991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379886991
Therefore, the GCF of Fractions 73/577,98/843,822/781 is 1/379886991
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 577,843,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,843,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,843,781) x common factors =1 x 1 = 1
LCM(577,843,781) = ( 577 × 843 × 781 ) / 1
LCM(577,843,781) = 379886991 / 1
LCM(577,843,781) = 379886991
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 73/577, 98/843, 822/781?
Answer: GCF of Numerators as per given numbers 73/577, 98/843, 822/781 is
GCF of Numerators i.e. for 73,98,822 is 1
LCM of denominators i.e. for 577,843,781 is 379886991.
Thus, GCF of Fractions is 1/379886991.Finally, GCF of Fractions for 73/577, 98/843, 822/781 is 1/379886991.