Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/56,501/50,762/517
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 565,501,762
Greatest Common Factor of Numerators i.e. GCF of 565,501,762 is 1 .
LCM of Denominators means LCM of 56,50,517 as per the given fractions.
LCM of 56,50,517 is 723800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,501,762
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 565,501,762 . The biggest common factor number is the GCF number.
So the greatest common factor 565,501,762 is 1.
Lets's calculate LCM of 56,50,517
2 | 56, 50, 517 |
28, 25, 517 |
∴ So the LCM of the given numbers is 2 x 28 x 25 x 517 = 723800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723800
Therefore, the GCF of Fractions 565/56,501/50,762/517 is 1/723800
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 56,50,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,50,517) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,50,517) x common factors =1 x 2 = 2
LCM(56,50,517) = ( 56 × 50 × 517 ) / 2
LCM(56,50,517) = 1447600 / 2
LCM(56,50,517) = 723800
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 565/56, 501/50, 762/517?
Answer: GCF of Numerators as per given numbers 565/56, 501/50, 762/517 is
GCF of Numerators i.e. for 565,501,762 is 1
LCM of denominators i.e. for 56,50,517 is 723800.
Thus, GCF of Fractions is 1/723800.Finally, GCF of Fractions for 565/56, 501/50, 762/517 is 1/723800.