Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8524/420,5631/3717
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 8524,5631
Greatest Common Factor of Numerators i.e. GCF of 8524,5631 is 1 .
LCM of Denominators means LCM of 420,3717 as per the given fractions.
LCM of 420,3717 is 74340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8524,5631
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8524
List of positive integer factors of 8524 that divides 8524 without a remainder.
1,2,4,2131,4262,8524
Factors of 5631
List of positive integer factors of 5631 that divides 5631 without a remainder.
1,3,1877,5631
Greatest Common Factor
We found the factors 8524,5631 . The biggest common factor number is the GCF number.
So the greatest common factor 8524,5631 is 1.
Lets's calculate LCM of 420,3717
3 | 420, 3717 |
7 | 140, 1239 |
20, 177 |
∴ So the LCM of the given numbers is 3 x 7 x 20 x 177 = 74340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74340
Therefore, the GCF of Fractions 8524/420,5631/3717 is 1/74340
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 420,3717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,3717) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(420,3717) x common factors =21 x 1 = 21
LCM(420,3717) = ( 420 × 3717 ) / 21
LCM(420,3717) = 1561140 / 21
LCM(420,3717) = 74340
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 8524/420, 5631/3717?
Answer: GCF of Numerators as per given numbers 8524/420, 5631/3717 is
GCF of Numerators i.e. for 8524,5631 is 1
LCM of denominators i.e. for 420,3717 is 74340.
Thus, GCF of Fractions is 1/74340.Finally, GCF of Fractions for 8524/420, 5631/3717 is 1/74340.