Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/800,2549/932
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 607,2549
Greatest Common Factor of Numerators i.e. GCF of 607,2549 is 1 .
LCM of Denominators means LCM of 800,932 as per the given fractions.
LCM of 800,932 is 186400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 607,2549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 2549
List of positive integer factors of 2549 that divides 2549 without a remainder.
1,2549
Greatest Common Factor
We found the factors 607,2549 . The biggest common factor number is the GCF number.
So the greatest common factor 607,2549 is 1.
Lets's calculate LCM of 800,932
2 | 800, 932 |
2 | 400, 466 |
200, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 200 x 233 = 186400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186400
Therefore, the GCF of Fractions 607/800,2549/932 is 1/186400
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 800,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(800,932) x common factors =4 x 1 = 4
LCM(800,932) = ( 800 × 932 ) / 4
LCM(800,932) = 745600 / 4
LCM(800,932) = 186400
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 607/800, 2549/932?
Answer: GCF of Numerators as per given numbers 607/800, 2549/932 is
GCF of Numerators i.e. for 607,2549 is 1
LCM of denominators i.e. for 800,932 is 186400.
Thus, GCF of Fractions is 1/186400.Finally, GCF of Fractions for 607/800, 2549/932 is 1/186400.