Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/59,261/31,951/608
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 715,261,951
Greatest Common Factor of Numerators i.e. GCF of 715,261,951 is 1 .
LCM of Denominators means LCM of 59,31,608 as per the given fractions.
LCM of 59,31,608 is 1112032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 715,261,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 715,261,951 . The biggest common factor number is the GCF number.
So the greatest common factor 715,261,951 is 1.
Lets's calculate LCM of 59,31,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 1112032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1112032
Therefore, the GCF of Fractions 715/59,261/31,951/608 is 1/1112032
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 59,31,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,31,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,31,608) x common factors =1 x 1 = 1
LCM(59,31,608) = ( 59 × 31 × 608 ) / 1
LCM(59,31,608) = 1112032 / 1
LCM(59,31,608) = 1112032
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 715/59, 261/31, 951/608?
Answer: GCF of Numerators as per given numbers 715/59, 261/31, 951/608 is
GCF of Numerators i.e. for 715,261,951 is 1
LCM of denominators i.e. for 59,31,608 is 1112032.
Thus, GCF of Fractions is 1/1112032.Finally, GCF of Fractions for 715/59, 261/31, 951/608 is 1/1112032.