Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/827,22/950,52/122
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 6,22,52
Greatest Common Factor of Numerators i.e. GCF of 6,22,52 is 2 .
LCM of Denominators means LCM of 827,950,122 as per the given fractions.
LCM of 827,950,122 is 47924650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,22,52
2 | 6, 22, 52 |
3, 11, 26 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Greatest Common Factor
We found the factors 6,22,52 . The biggest common factor number is the GCF number.
So the greatest common factor 6,22,52 is 2.
Lets's calculate LCM of 827,950,122
2 | 827, 950, 122 |
827, 475, 61 |
∴ So the LCM of the given numbers is 2 x 827 x 475 x 61 = 47924650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47924650
Therefore, the GCF of Fractions 6/827,22/950,52/122 is 2/47924650
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 827,950,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,950,122) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(827,950,122) x common factors =1 x 2 = 2
LCM(827,950,122) = ( 827 × 950 × 122 ) / 2
LCM(827,950,122) = 95849300 / 2
LCM(827,950,122) = 47924650
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 6/827, 22/950, 52/122?
Answer: GCF of Numerators as per given numbers 6/827, 22/950, 52/122 is
GCF of Numerators i.e. for 6,22,52 is 2
LCM of denominators i.e. for 827,950,122 is 47924650.
Thus, GCF of Fractions is 2/47924650.Finally, GCF of Fractions for 6/827, 22/950, 52/122 is 2/47924650.