Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/31,271/39,770/17
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 865,271,770
Greatest Common Factor of Numerators i.e. GCF of 865,271,770 is 1 .
LCM of Denominators means LCM of 31,39,17 as per the given fractions.
LCM of 31,39,17 is 20553 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 865,271,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 865,271,770 . The biggest common factor number is the GCF number.
So the greatest common factor 865,271,770 is 1.
Lets's calculate LCM of 31,39,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 20553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20553
Therefore, the GCF of Fractions 865/31,271/39,770/17 is 1/20553
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 31,39,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,39,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,39,17) x common factors =1 x 1 = 1
LCM(31,39,17) = ( 31 × 39 × 17 ) / 1
LCM(31,39,17) = 20553 / 1
LCM(31,39,17) = 20553
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 865/31, 271/39, 770/17?
Answer: GCF of Numerators as per given numbers 865/31, 271/39, 770/17 is
GCF of Numerators i.e. for 865,271,770 is 1
LCM of denominators i.e. for 31,39,17 is 20553.
Thus, GCF of Fractions is 1/20553.Finally, GCF of Fractions for 865/31, 271/39, 770/17 is 1/20553.