Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/89,284/61,974/307
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 149,284,974
Greatest Common Factor of Numerators i.e. GCF of 149,284,974 is 1 .
LCM of Denominators means LCM of 89,61,307 as per the given fractions.
LCM of 89,61,307 is 1666703 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,284,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 149,284,974 . The biggest common factor number is the GCF number.
So the greatest common factor 149,284,974 is 1.
Lets's calculate LCM of 89,61,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 1666703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1666703
Therefore, the GCF of Fractions 149/89,284/61,974/307 is 1/1666703
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 89,61,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,61,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,61,307) x common factors =1 x 1 = 1
LCM(89,61,307) = ( 89 × 61 × 307 ) / 1
LCM(89,61,307) = 1666703 / 1
LCM(89,61,307) = 1666703
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 149/89, 284/61, 974/307?
Answer: GCF of Numerators as per given numbers 149/89, 284/61, 974/307 is
GCF of Numerators i.e. for 149,284,974 is 1
LCM of denominators i.e. for 89,61,307 is 1666703.
Thus, GCF of Fractions is 1/1666703.Finally, GCF of Fractions for 149/89, 284/61, 974/307 is 1/1666703.