Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6517/679,9624/453
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 6517,9624
Greatest Common Factor of Numerators i.e. GCF of 6517,9624 is 1 .
LCM of Denominators means LCM of 679,453 as per the given fractions.
LCM of 679,453 is 307587 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6517,9624
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6517
List of positive integer factors of 6517 that divides 6517 without a remainder.
1,7,19,49,133,343,931,6517
Factors of 9624
List of positive integer factors of 9624 that divides 9624 without a remainder.
1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Greatest Common Factor
We found the factors 6517,9624 . The biggest common factor number is the GCF number.
So the greatest common factor 6517,9624 is 1.
Lets's calculate LCM of 679,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 307587
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307587
Therefore, the GCF of Fractions 6517/679,9624/453 is 1/307587
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 679,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,453) x common factors =1 x 1 = 1
LCM(679,453) = ( 679 × 453 ) / 1
LCM(679,453) = 307587 / 1
LCM(679,453) = 307587
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 6517/679, 9624/453?
Answer: GCF of Numerators as per given numbers 6517/679, 9624/453 is
GCF of Numerators i.e. for 6517,9624 is 1
LCM of denominators i.e. for 679,453 is 307587.
Thus, GCF of Fractions is 1/307587.Finally, GCF of Fractions for 6517/679, 9624/453 is 1/307587.