Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/61,363/37,412/508
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 221,363,412
Greatest Common Factor of Numerators i.e. GCF of 221,363,412 is 1 .
LCM of Denominators means LCM of 61,37,508 as per the given fractions.
LCM of 61,37,508 is 1146556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 221,363,412
∴ 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 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 221,363,412 . The biggest common factor number is the GCF number.
So the greatest common factor 221,363,412 is 1.
Lets's calculate LCM of 61,37,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 1146556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1146556
Therefore, the GCF of Fractions 221/61,363/37,412/508 is 1/1146556
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 61,37,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,37,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,37,508) x common factors =1 x 1 = 1
LCM(61,37,508) = ( 61 × 37 × 508 ) / 1
LCM(61,37,508) = 1146556 / 1
LCM(61,37,508) = 1146556
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 221/61, 363/37, 412/508?
Answer: GCF of Numerators as per given numbers 221/61, 363/37, 412/508 is
GCF of Numerators i.e. for 221,363,412 is 1
LCM of denominators i.e. for 61,37,508 is 1146556.
Thus, GCF of Fractions is 1/1146556.Finally, GCF of Fractions for 221/61, 363/37, 412/508 is 1/1146556.