Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 926/26,266/28,650/317
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 926,266,650
Greatest Common Factor of Numerators i.e. GCF of 926,266,650 is 2 .
LCM of Denominators means LCM of 26,28,317 as per the given fractions.
LCM of 26,28,317 is 115388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 926,266,650
2 | 926, 266, 650 |
463, 133, 325 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
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 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 926,266,650 . The biggest common factor number is the GCF number.
So the greatest common factor 926,266,650 is 2.
Lets's calculate LCM of 26,28,317
2 | 26, 28, 317 |
13, 14, 317 |
∴ So the LCM of the given numbers is 2 x 13 x 14 x 317 = 115388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115388
Therefore, the GCF of Fractions 926/26,266/28,650/317 is 2/115388
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 26,28,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,28,317) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,28,317) x common factors =1 x 2 = 2
LCM(26,28,317) = ( 26 × 28 × 317 ) / 2
LCM(26,28,317) = 230776 / 2
LCM(26,28,317) = 115388
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 926/26, 266/28, 650/317?
Answer: GCF of Numerators as per given numbers 926/26, 266/28, 650/317 is
GCF of Numerators i.e. for 926,266,650 is 2
LCM of denominators i.e. for 26,28,317 is 115388.
Thus, GCF of Fractions is 2/115388.Finally, GCF of Fractions for 926/26, 266/28, 650/317 is 2/115388.