Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6424/625,9921/2636
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 6424,9921
Greatest Common Factor of Numerators i.e. GCF of 6424,9921 is 1 .
LCM of Denominators means LCM of 625,2636 as per the given fractions.
LCM of 625,2636 is 1647500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6424,9921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6424
List of positive integer factors of 6424 that divides 6424 without a remainder.
1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Factors of 9921
List of positive integer factors of 9921 that divides 9921 without a remainder.
1,3,3307,9921
Greatest Common Factor
We found the factors 6424,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 6424,9921 is 1.
Lets's calculate LCM of 625,2636
Given numbers has no common factors except 1. So, there LCM is their product i.e 1647500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1647500
Therefore, the GCF of Fractions 6424/625,9921/2636 is 1/1647500
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 625,2636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,2636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,2636) x common factors =1 x 1 = 1
LCM(625,2636) = ( 625 × 2636 ) / 1
LCM(625,2636) = 1647500 / 1
LCM(625,2636) = 1647500
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 6424/625, 9921/2636?
Answer: GCF of Numerators as per given numbers 6424/625, 9921/2636 is
GCF of Numerators i.e. for 6424,9921 is 1
LCM of denominators i.e. for 625,2636 is 1647500.
Thus, GCF of Fractions is 1/1647500.Finally, GCF of Fractions for 6424/625, 9921/2636 is 1/1647500.