Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 701/73,822/65,204/101
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 701,822,204
Greatest Common Factor of Numerators i.e. GCF of 701,822,204 is 1 .
LCM of Denominators means LCM of 73,65,101 as per the given fractions.
LCM of 73,65,101 is 479245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 701,822,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 701,822,204 . The biggest common factor number is the GCF number.
So the greatest common factor 701,822,204 is 1.
Lets's calculate LCM of 73,65,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 479245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479245
Therefore, the GCF of Fractions 701/73,822/65,204/101 is 1/479245
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 73,65,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,65,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,65,101) x common factors =1 x 1 = 1
LCM(73,65,101) = ( 73 × 65 × 101 ) / 1
LCM(73,65,101) = 479245 / 1
LCM(73,65,101) = 479245
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 701/73, 822/65, 204/101?
Answer: GCF of Numerators as per given numbers 701/73, 822/65, 204/101 is
GCF of Numerators i.e. for 701,822,204 is 1
LCM of denominators i.e. for 73,65,101 is 479245.
Thus, GCF of Fractions is 1/479245.Finally, GCF of Fractions for 701/73, 822/65, 204/101 is 1/479245.