Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 517/24,621/77,740/954
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 517,621,740
Greatest Common Factor of Numerators i.e. GCF of 517,621,740 is 1 .
LCM of Denominators means LCM of 24,77,954 as per the given fractions.
LCM of 24,77,954 is 293832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 517,621,740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 517,621,740 . The biggest common factor number is the GCF number.
So the greatest common factor 517,621,740 is 1.
Lets's calculate LCM of 24,77,954
2 | 24, 77, 954 |
3 | 12, 77, 477 |
4, 77, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 77 x 159 = 293832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293832
Therefore, the GCF of Fractions 517/24,621/77,740/954 is 1/293832
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 24,77,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,77,954) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(24,77,954) x common factors =1 x 6 = 6
LCM(24,77,954) = ( 24 × 77 × 954 ) / 6
LCM(24,77,954) = 1762992 / 6
LCM(24,77,954) = 293832
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 517/24, 621/77, 740/954?
Answer: GCF of Numerators as per given numbers 517/24, 621/77, 740/954 is
GCF of Numerators i.e. for 517,621,740 is 1
LCM of denominators i.e. for 24,77,954 is 293832.
Thus, GCF of Fractions is 1/293832.Finally, GCF of Fractions for 517/24, 621/77, 740/954 is 1/293832.