Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/85,941/61,316/999
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 221,941,316
Greatest Common Factor of Numerators i.e. GCF of 221,941,316 is 1 .
LCM of Denominators means LCM of 85,61,999 as per the given fractions.
LCM of 85,61,999 is 5179815 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 221,941,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 221,941,316 . The biggest common factor number is the GCF number.
So the greatest common factor 221,941,316 is 1.
Lets's calculate LCM of 85,61,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 5179815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5179815
Therefore, the GCF of Fractions 221/85,941/61,316/999 is 1/5179815
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 85,61,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,61,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,61,999) x common factors =1 x 1 = 1
LCM(85,61,999) = ( 85 × 61 × 999 ) / 1
LCM(85,61,999) = 5179815 / 1
LCM(85,61,999) = 5179815
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 221/85, 941/61, 316/999?
Answer: GCF of Numerators as per given numbers 221/85, 941/61, 316/999 is
GCF of Numerators i.e. for 221,941,316 is 1
LCM of denominators i.e. for 85,61,999 is 5179815.
Thus, GCF of Fractions is 1/5179815.Finally, GCF of Fractions for 221/85, 941/61, 316/999 is 1/5179815.