Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/560,780/242,219/298
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 505,780,219
Greatest Common Factor of Numerators i.e. GCF of 505,780,219 is 1 .
LCM of Denominators means LCM of 560,242,298 as per the given fractions.
LCM of 560,242,298 is 10096240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,780,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 505,780,219 . The biggest common factor number is the GCF number.
So the greatest common factor 505,780,219 is 1.
Lets's calculate LCM of 560,242,298
2 | 560, 242, 298 |
280, 121, 149 |
∴ So the LCM of the given numbers is 2 x 280 x 121 x 149 = 10096240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10096240
Therefore, the GCF of Fractions 505/560,780/242,219/298 is 1/10096240
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 560,242,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,242,298) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(560,242,298) x common factors =2 x 2 = 4
LCM(560,242,298) = ( 560 × 242 × 298 ) / 4
LCM(560,242,298) = 40384960 / 4
LCM(560,242,298) = 10096240
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 505/560, 780/242, 219/298?
Answer: GCF of Numerators as per given numbers 505/560, 780/242, 219/298 is
GCF of Numerators i.e. for 505,780,219 is 1
LCM of denominators i.e. for 560,242,298 is 10096240.
Thus, GCF of Fractions is 1/10096240.Finally, GCF of Fractions for 505/560, 780/242, 219/298 is 1/10096240.