Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/72,400/60,862/670
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 595,400,862
Greatest Common Factor of Numerators i.e. GCF of 595,400,862 is 1 .
LCM of Denominators means LCM of 72,60,670 as per the given fractions.
LCM of 72,60,670 is 24120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,400,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 595,400,862 . The biggest common factor number is the GCF number.
So the greatest common factor 595,400,862 is 1.
Lets's calculate LCM of 72,60,670
2 | 72, 60, 670 |
2 | 36, 30, 335 |
3 | 18, 15, 335 |
5 | 6, 5, 335 |
6, 1, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 1 x 67 = 24120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24120
Therefore, the GCF of Fractions 595/72,400/60,862/670 is 1/24120
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 72,60,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,60,670) = 2
common factors(in case of two or more numbers have common factors) = 60
GCF(72,60,670) x common factors =2 x 60 = 120
LCM(72,60,670) = ( 72 × 60 × 670 ) / 120
LCM(72,60,670) = 2894400 / 120
LCM(72,60,670) = 24120
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 595/72, 400/60, 862/670?
Answer: GCF of Numerators as per given numbers 595/72, 400/60, 862/670 is
GCF of Numerators i.e. for 595,400,862 is 1
LCM of denominators i.e. for 72,60,670 is 24120.
Thus, GCF of Fractions is 1/24120.Finally, GCF of Fractions for 595/72, 400/60, 862/670 is 1/24120.