Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/8722,583/2692
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 407,583
Greatest Common Factor of Numerators i.e. GCF of 407,583 is 11 .
LCM of Denominators means LCM of 8722,2692 as per the given fractions.
LCM of 8722,2692 is 11739812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,583
11 | 407, 583 |
37, 53 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Greatest Common Factor
We found the factors 407,583 . The biggest common factor number is the GCF number.
So the greatest common factor 407,583 is 11.
Lets's calculate LCM of 8722,2692
2 | 8722, 2692 |
4361, 1346 |
∴ So the LCM of the given numbers is 2 x 4361 x 1346 = 11739812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11739812
Therefore, the GCF of Fractions 407/8722,583/2692 is 11/11739812
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 8722,2692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8722,2692) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8722,2692) x common factors =2 x 1 = 2
LCM(8722,2692) = ( 8722 × 2692 ) / 2
LCM(8722,2692) = 23479624 / 2
LCM(8722,2692) = 11739812
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 407/8722, 583/2692?
Answer: GCF of Numerators as per given numbers 407/8722, 583/2692 is
GCF of Numerators i.e. for 407,583 is 11
LCM of denominators i.e. for 8722,2692 is 11739812.
Thus, GCF of Fractions is 11/11739812.Finally, GCF of Fractions for 407/8722, 583/2692 is 11/11739812.