Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/979,335/237,761/922
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 80,335,761
Greatest Common Factor of Numerators i.e. GCF of 80,335,761 is 1 .
LCM of Denominators means LCM of 979,237,922 as per the given fractions.
LCM of 979,237,922 is 213925206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,335,761
∴ So GCF of numbers is 1 because of no common factors present between them.
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 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Greatest Common Factor
We found the factors 80,335,761 . The biggest common factor number is the GCF number.
So the greatest common factor 80,335,761 is 1.
Lets's calculate LCM of 979,237,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 213925206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213925206
Therefore, the GCF of Fractions 80/979,335/237,761/922 is 1/213925206
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 979,237,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,237,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,237,922) x common factors =1 x 1 = 1
LCM(979,237,922) = ( 979 × 237 × 922 ) / 1
LCM(979,237,922) = 213925206 / 1
LCM(979,237,922) = 213925206
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 80/979, 335/237, 761/922?
Answer: GCF of Numerators as per given numbers 80/979, 335/237, 761/922 is
GCF of Numerators i.e. for 80,335,761 is 1
LCM of denominators i.e. for 979,237,922 is 213925206.
Thus, GCF of Fractions is 1/213925206.Finally, GCF of Fractions for 80/979, 335/237, 761/922 is 1/213925206.