Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/61,90/14,760/306
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 24,90,760
Greatest Common Factor of Numerators i.e. GCF of 24,90,760 is 2 .
LCM of Denominators means LCM of 61,14,306 as per the given fractions.
LCM of 61,14,306 is 130662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,90,760
2 | 24, 90, 760 |
12, 45, 380 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 24,90,760 . The biggest common factor number is the GCF number.
So the greatest common factor 24,90,760 is 2.
Lets's calculate LCM of 61,14,306
2 | 61, 14, 306 |
61, 7, 153 |
∴ So the LCM of the given numbers is 2 x 61 x 7 x 153 = 130662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/130662
Therefore, the GCF of Fractions 24/61,90/14,760/306 is 2/130662
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 61,14,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,14,306) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,14,306) x common factors =1 x 2 = 2
LCM(61,14,306) = ( 61 × 14 × 306 ) / 2
LCM(61,14,306) = 261324 / 2
LCM(61,14,306) = 130662
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 24/61, 90/14, 760/306?
Answer: GCF of Numerators as per given numbers 24/61, 90/14, 760/306 is
GCF of Numerators i.e. for 24,90,760 is 2
LCM of denominators i.e. for 61,14,306 is 130662.
Thus, GCF of Fractions is 2/130662.Finally, GCF of Fractions for 24/61, 90/14, 760/306 is 2/130662.