Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/24,550/35,296/572
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 595,550,296
Greatest Common Factor of Numerators i.e. GCF of 595,550,296 is 1 .
LCM of Denominators means LCM of 24,35,572 as per the given fractions.
LCM of 24,35,572 is 120120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,550,296
∴ 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 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 595,550,296 . The biggest common factor number is the GCF number.
So the greatest common factor 595,550,296 is 1.
Lets's calculate LCM of 24,35,572
2 | 24, 35, 572 |
2 | 12, 35, 286 |
6, 35, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 6 x 35 x 143 = 120120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120120
Therefore, the GCF of Fractions 595/24,550/35,296/572 is 1/120120
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 24,35,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,35,572) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(24,35,572) x common factors =1 x 4 = 4
LCM(24,35,572) = ( 24 × 35 × 572 ) / 4
LCM(24,35,572) = 480480 / 4
LCM(24,35,572) = 120120
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 595/24, 550/35, 296/572?
Answer: GCF of Numerators as per given numbers 595/24, 550/35, 296/572 is
GCF of Numerators i.e. for 595,550,296 is 1
LCM of denominators i.e. for 24,35,572 is 120120.
Thus, GCF of Fractions is 1/120120.Finally, GCF of Fractions for 595/24, 550/35, 296/572 is 1/120120.