Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7444/74,8212/782
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 7444,8212
Greatest Common Factor of Numerators i.e. GCF of 7444,8212 is 4 .
LCM of Denominators means LCM of 74,782 as per the given fractions.
LCM of 74,782 is 28934 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7444,8212
2 | 7444, 8212 |
2 | 3722, 4106 |
1861, 2053 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7444
List of positive integer factors of 7444 that divides 7444 without a remainder.
1,2,4,1861,3722,7444
Factors of 8212
List of positive integer factors of 8212 that divides 8212 without a remainder.
1,2,4,2053,4106,8212
Greatest Common Factor
We found the factors 7444,8212 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,8212 is 4.
Lets's calculate LCM of 74,782
2 | 74, 782 |
37, 391 |
∴ So the LCM of the given numbers is 2 x 37 x 391 = 28934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28934
Therefore, the GCF of Fractions 7444/74,8212/782 is 4/28934
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 74,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,782) x common factors =2 x 1 = 2
LCM(74,782) = ( 74 × 782 ) / 2
LCM(74,782) = 57868 / 2
LCM(74,782) = 28934
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 7444/74, 8212/782?
Answer: GCF of Numerators as per given numbers 7444/74, 8212/782 is
GCF of Numerators i.e. for 7444,8212 is 4
LCM of denominators i.e. for 74,782 is 28934.
Thus, GCF of Fractions is 4/28934.Finally, GCF of Fractions for 7444/74, 8212/782 is 4/28934.