Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 64/141,19/179,971/782
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 64,19,971
Greatest Common Factor of Numerators i.e. GCF of 64,19,971 is 1 .
LCM of Denominators means LCM of 141,179,782 as per the given fractions.
LCM of 141,179,782 is 19736898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 64,19,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Greatest Common Factor
We found the factors 64,19,971 . The biggest common factor number is the GCF number.
So the greatest common factor 64,19,971 is 1.
Lets's calculate LCM of 141,179,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 19736898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19736898
Therefore, the GCF of Fractions 64/141,19/179,971/782 is 1/19736898
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 141,179,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,179,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,179,782) x common factors =1 x 1 = 1
LCM(141,179,782) = ( 141 × 179 × 782 ) / 1
LCM(141,179,782) = 19736898 / 1
LCM(141,179,782) = 19736898
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 64/141, 19/179, 971/782?
Answer: GCF of Numerators as per given numbers 64/141, 19/179, 971/782 is
GCF of Numerators i.e. for 64,19,971 is 1
LCM of denominators i.e. for 141,179,782 is 19736898.
Thus, GCF of Fractions is 1/19736898.Finally, GCF of Fractions for 64/141, 19/179, 971/782 is 1/19736898.