Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/102,9737/636
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 227,9737
Greatest Common Factor of Numerators i.e. GCF of 227,9737 is 1 .
LCM of Denominators means LCM of 102,636 as per the given fractions.
LCM of 102,636 is 10812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 227,9737
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 9737
List of positive integer factors of 9737 that divides 9737 without a remainder.
1,7,13,91,107,749,1391,9737
Greatest Common Factor
We found the factors 227,9737 . The biggest common factor number is the GCF number.
So the greatest common factor 227,9737 is 1.
Lets's calculate LCM of 102,636
2 | 102, 636 |
3 | 51, 318 |
17, 106 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 106 = 10812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10812
Therefore, the GCF of Fractions 227/102,9737/636 is 1/10812
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 102,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,636) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(102,636) x common factors =6 x 1 = 6
LCM(102,636) = ( 102 × 636 ) / 6
LCM(102,636) = 64872 / 6
LCM(102,636) = 10812
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 227/102, 9737/636?
Answer: GCF of Numerators as per given numbers 227/102, 9737/636 is
GCF of Numerators i.e. for 227,9737 is 1
LCM of denominators i.e. for 102,636 is 10812.
Thus, GCF of Fractions is 1/10812.Finally, GCF of Fractions for 227/102, 9737/636 is 1/10812.