Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/37,32/95,94/760,434/806
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 2,32,94,434
Greatest Common Factor of Numerators i.e. GCF of 2,32,94,434 is 2 .
LCM of Denominators means LCM of 37,95,760,806 as per the given fractions.
LCM of 37,95,760,806 is 11332360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,32,94,434
2 | 2, 32, 94, 434 |
1, 16, 47, 217 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 2,32,94,434 . The biggest common factor number is the GCF number.
So the greatest common factor 2,32,94,434 is 2.
Lets's calculate LCM of 37,95,760,806
2 | 37, 95, 760, 806 |
5 | 37, 95, 380, 403 |
19 | 37, 19, 76, 403 |
37, 1, 4, 403 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 37 x 1 x 4 x 403 = 11332360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11332360
Therefore, the GCF of Fractions 2/37,32/95,94/760,434/806 is 2/11332360
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 37,95,760,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,95,760,806) = 1
common factors(in case of two or more numbers have common factors) = 190
GCF(37,95,760,806) x common factors =1 x 190 = 190
LCM(37,95,760,806) = ( 37 × 95 × 760 × 806 ) / 190
LCM(37,95,760,806) = 2153148400 / 190
LCM(37,95,760,806) = 11332360
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 2/37, 32/95, 94/760, 434/806?
Answer: GCF of Numerators as per given numbers 2/37, 32/95, 94/760, 434/806 is
GCF of Numerators i.e. for 2,32,94,434 is 2
LCM of denominators i.e. for 37,95,760,806 is 11332360.
Thus, GCF of Fractions is 2/11332360.Finally, GCF of Fractions for 2/37, 32/95, 94/760, 434/806 is 2/11332360.