Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/654,8667/707
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 457,8667
Greatest Common Factor of Numerators i.e. GCF of 457,8667 is 1 .
LCM of Denominators means LCM of 654,707 as per the given fractions.
LCM of 654,707 is 462378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,8667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 8667
List of positive integer factors of 8667 that divides 8667 without a remainder.
1,3,9,27,81,107,321,963,2889,8667
Greatest Common Factor
We found the factors 457,8667 . The biggest common factor number is the GCF number.
So the greatest common factor 457,8667 is 1.
Lets's calculate LCM of 654,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 462378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462378
Therefore, the GCF of Fractions 457/654,8667/707 is 1/462378
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 654,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,707) x common factors =1 x 1 = 1
LCM(654,707) = ( 654 × 707 ) / 1
LCM(654,707) = 462378 / 1
LCM(654,707) = 462378
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 457/654, 8667/707?
Answer: GCF of Numerators as per given numbers 457/654, 8667/707 is
GCF of Numerators i.e. for 457,8667 is 1
LCM of denominators i.e. for 654,707 is 462378.
Thus, GCF of Fractions is 1/462378.Finally, GCF of Fractions for 457/654, 8667/707 is 1/462378.