Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/58,331/10,774/603
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 266,331,774
Greatest Common Factor of Numerators i.e. GCF of 266,331,774 is 1 .
LCM of Denominators means LCM of 58,10,603 as per the given fractions.
LCM of 58,10,603 is 174870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,331,774
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
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
Greatest Common Factor
We found the factors 266,331,774 . The biggest common factor number is the GCF number.
So the greatest common factor 266,331,774 is 1.
Lets's calculate LCM of 58,10,603
2 | 58, 10, 603 |
29, 5, 603 |
∴ So the LCM of the given numbers is 2 x 29 x 5 x 603 = 174870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174870
Therefore, the GCF of Fractions 266/58,331/10,774/603 is 1/174870
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 58,10,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,10,603) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,10,603) x common factors =1 x 2 = 2
LCM(58,10,603) = ( 58 × 10 × 603 ) / 2
LCM(58,10,603) = 349740 / 2
LCM(58,10,603) = 174870
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 266/58, 331/10, 774/603?
Answer: GCF of Numerators as per given numbers 266/58, 331/10, 774/603 is
GCF of Numerators i.e. for 266,331,774 is 1
LCM of denominators i.e. for 58,10,603 is 174870.
Thus, GCF of Fractions is 1/174870.Finally, GCF of Fractions for 266/58, 331/10, 774/603 is 1/174870.