Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/74,542/80,662/370
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 444,542,662
Greatest Common Factor of Numerators i.e. GCF of 444,542,662 is 2 .
LCM of Denominators means LCM of 74,80,370 as per the given fractions.
LCM of 74,80,370 is 2960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 444,542,662
2 | 444, 542, 662 |
222, 271, 331 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 444,542,662 . The biggest common factor number is the GCF number.
So the greatest common factor 444,542,662 is 2.
Lets's calculate LCM of 74,80,370
2 | 74, 80, 370 |
5 | 37, 40, 185 |
37 | 37, 8, 37 |
1, 8, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 1 x 8 x 1 = 2960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2960
Therefore, the GCF of Fractions 444/74,542/80,662/370 is 2/2960
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 74,80,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,80,370) = 2
common factors(in case of two or more numbers have common factors) = 370
GCF(74,80,370) x common factors =2 x 370 = 740
LCM(74,80,370) = ( 74 × 80 × 370 ) / 740
LCM(74,80,370) = 2190400 / 740
LCM(74,80,370) = 2960
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 444/74, 542/80, 662/370?
Answer: GCF of Numerators as per given numbers 444/74, 542/80, 662/370 is
GCF of Numerators i.e. for 444,542,662 is 2
LCM of denominators i.e. for 74,80,370 is 2960.
Thus, GCF of Fractions is 2/2960.Finally, GCF of Fractions for 444/74, 542/80, 662/370 is 2/2960.