Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/22,774/80,474/94
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 6,774,474
Greatest Common Factor of Numerators i.e. GCF of 6,774,474 is 6 .
LCM of Denominators means LCM of 22,80,94 as per the given fractions.
LCM of 22,80,94 is 41360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,774,474
2 | 6, 774, 474 |
3 | 3, 387, 237 |
1, 129, 79 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 6,774,474 . The biggest common factor number is the GCF number.
So the greatest common factor 6,774,474 is 6.
Lets's calculate LCM of 22,80,94
2 | 22, 80, 94 |
11, 40, 47 |
∴ So the LCM of the given numbers is 2 x 11 x 40 x 47 = 41360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/41360
Therefore, the GCF of Fractions 6/22,774/80,474/94 is 6/41360
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 22,80,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,80,94) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(22,80,94) x common factors =2 x 2 = 4
LCM(22,80,94) = ( 22 × 80 × 94 ) / 4
LCM(22,80,94) = 165440 / 4
LCM(22,80,94) = 41360
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 6/22, 774/80, 474/94?
Answer: GCF of Numerators as per given numbers 6/22, 774/80, 474/94 is
GCF of Numerators i.e. for 6,774,474 is 6
LCM of denominators i.e. for 22,80,94 is 41360.
Thus, GCF of Fractions is 6/41360.Finally, GCF of Fractions for 6/22, 774/80, 474/94 is 6/41360.