Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/30,93/26,597/804
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 55,93,597
Greatest Common Factor of Numerators i.e. GCF of 55,93,597 is 1 .
LCM of Denominators means LCM of 30,26,804 as per the given fractions.
LCM of 30,26,804 is 52260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,93,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 55,93,597 . The biggest common factor number is the GCF number.
So the greatest common factor 55,93,597 is 1.
Lets's calculate LCM of 30,26,804
2 | 30, 26, 804 |
3 | 15, 13, 402 |
5, 13, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 134 = 52260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52260
Therefore, the GCF of Fractions 55/30,93/26,597/804 is 1/52260
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 30,26,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,26,804) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(30,26,804) x common factors =2 x 6 = 12
LCM(30,26,804) = ( 30 × 26 × 804 ) / 12
LCM(30,26,804) = 627120 / 12
LCM(30,26,804) = 52260
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 55/30, 93/26, 597/804?
Answer: GCF of Numerators as per given numbers 55/30, 93/26, 597/804 is
GCF of Numerators i.e. for 55,93,597 is 1
LCM of denominators i.e. for 30,26,804 is 52260.
Thus, GCF of Fractions is 1/52260.Finally, GCF of Fractions for 55/30, 93/26, 597/804 is 1/52260.