Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/980,1661/176
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 605,1661
Greatest Common Factor of Numerators i.e. GCF of 605,1661 is 11 .
LCM of Denominators means LCM of 980,176 as per the given fractions.
LCM of 980,176 is 43120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,1661
11 | 605, 1661 |
55, 151 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 1661
List of positive integer factors of 1661 that divides 1661 without a remainder.
1,11,151,1661
Greatest Common Factor
We found the factors 605,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 605,1661 is 11.
Lets's calculate LCM of 980,176
2 | 980, 176 |
2 | 490, 88 |
245, 44 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 44 = 43120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/43120
Therefore, the GCF of Fractions 605/980,1661/176 is 11/43120
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 980,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,176) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,176) x common factors =4 x 1 = 4
LCM(980,176) = ( 980 × 176 ) / 4
LCM(980,176) = 172480 / 4
LCM(980,176) = 43120
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 605/980, 1661/176?
Answer: GCF of Numerators as per given numbers 605/980, 1661/176 is
GCF of Numerators i.e. for 605,1661 is 11
LCM of denominators i.e. for 980,176 is 43120.
Thus, GCF of Fractions is 11/43120.Finally, GCF of Fractions for 605/980, 1661/176 is 11/43120.