Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/66,35/34,574/770
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 11,35,574
Greatest Common Factor of Numerators i.e. GCF of 11,35,574 is 1 .
LCM of Denominators means LCM of 66,34,770 as per the given fractions.
LCM of 66,34,770 is 39270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,35,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 11,35,574 . The biggest common factor number is the GCF number.
So the greatest common factor 11,35,574 is 1.
Lets's calculate LCM of 66,34,770
2 | 66, 34, 770 |
11 | 33, 17, 385 |
3, 17, 35 |
∴ So the LCM of the given numbers is 2 x 11 x 3 x 17 x 35 = 39270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39270
Therefore, the GCF of Fractions 11/66,35/34,574/770 is 1/39270
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 66,34,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,34,770) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(66,34,770) x common factors =2 x 22 = 44
LCM(66,34,770) = ( 66 × 34 × 770 ) / 44
LCM(66,34,770) = 1727880 / 44
LCM(66,34,770) = 39270
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 11/66, 35/34, 574/770?
Answer: GCF of Numerators as per given numbers 11/66, 35/34, 574/770 is
GCF of Numerators i.e. for 11,35,574 is 1
LCM of denominators i.e. for 66,34,770 is 39270.
Thus, GCF of Fractions is 1/39270.Finally, GCF of Fractions for 11/66, 35/34, 574/770 is 1/39270.