Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/22,65/10,80/11,94/477
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 61,65,80,94
Greatest Common Factor of Numerators i.e. GCF of 61,65,80,94 is 1 .
LCM of Denominators means LCM of 22,10,11,477 as per the given fractions.
LCM of 22,10,11,477 is 52470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,65,80,94
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 61,65,80,94 . The biggest common factor number is the GCF number.
So the greatest common factor 61,65,80,94 is 1.
Lets's calculate LCM of 22,10,11,477
2 | 22, 10, 11, 477 |
11 | 11, 5, 11, 477 |
1, 5, 1, 477 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 5 x 1 x 477 = 52470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52470
Therefore, the GCF of Fractions 61/22,65/10,80/11,94/477 is 1/52470
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 22,10,11,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,10,11,477) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,10,11,477) x common factors =1 x 22 = 22
LCM(22,10,11,477) = ( 22 × 10 × 11 × 477 ) / 22
LCM(22,10,11,477) = 1154340 / 22
LCM(22,10,11,477) = 52470
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 61/22, 65/10, 80/11, 94/477?
Answer: GCF of Numerators as per given numbers 61/22, 65/10, 80/11, 94/477 is
GCF of Numerators i.e. for 61,65,80,94 is 1
LCM of denominators i.e. for 22,10,11,477 is 52470.
Thus, GCF of Fractions is 1/52470.Finally, GCF of Fractions for 61/22, 65/10, 80/11, 94/477 is 1/52470.