Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 755/505,747/289,565/827
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 755,747,565
Greatest Common Factor of Numerators i.e. GCF of 755,747,565 is 1 .
LCM of Denominators means LCM of 505,289,827 as per the given fractions.
LCM of 505,289,827 is 120696515 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 755,747,565
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 755,747,565 . The biggest common factor number is the GCF number.
So the greatest common factor 755,747,565 is 1.
Lets's calculate LCM of 505,289,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 120696515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120696515
Therefore, the GCF of Fractions 755/505,747/289,565/827 is 1/120696515
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 505,289,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,289,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,289,827) x common factors =1 x 1 = 1
LCM(505,289,827) = ( 505 × 289 × 827 ) / 1
LCM(505,289,827) = 120696515 / 1
LCM(505,289,827) = 120696515
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 755/505, 747/289, 565/827?
Answer: GCF of Numerators as per given numbers 755/505, 747/289, 565/827 is
GCF of Numerators i.e. for 755,747,565 is 1
LCM of denominators i.e. for 505,289,827 is 120696515.
Thus, GCF of Fractions is 1/120696515.Finally, GCF of Fractions for 755/505, 747/289, 565/827 is 1/120696515.