Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 565/37,713/94,304/495
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 565,713,304
Greatest Common Factor of Numerators i.e. GCF of 565,713,304 is 1 .
LCM of Denominators means LCM of 37,94,495 as per the given fractions.
LCM of 37,94,495 is 1721610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 565,713,304
∴ 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 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 565,713,304 . The biggest common factor number is the GCF number.
So the greatest common factor 565,713,304 is 1.
Lets's calculate LCM of 37,94,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 1721610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1721610
Therefore, the GCF of Fractions 565/37,713/94,304/495 is 1/1721610
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 37,94,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,94,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,94,495) x common factors =1 x 1 = 1
LCM(37,94,495) = ( 37 × 94 × 495 ) / 1
LCM(37,94,495) = 1721610 / 1
LCM(37,94,495) = 1721610
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 565/37, 713/94, 304/495?
Answer: GCF of Numerators as per given numbers 565/37, 713/94, 304/495 is
GCF of Numerators i.e. for 565,713,304 is 1
LCM of denominators i.e. for 37,94,495 is 1721610.
Thus, GCF of Fractions is 1/1721610.Finally, GCF of Fractions for 565/37, 713/94, 304/495 is 1/1721610.