Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7957/532,3439/862
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 7957,3439
Greatest Common Factor of Numerators i.e. GCF of 7957,3439 is 1 .
LCM of Denominators means LCM of 532,862 as per the given fractions.
LCM of 532,862 is 229292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7957,3439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7957
List of positive integer factors of 7957 that divides 7957 without a remainder.
1,73,109,7957
Factors of 3439
List of positive integer factors of 3439 that divides 3439 without a remainder.
1,19,181,3439
Greatest Common Factor
We found the factors 7957,3439 . The biggest common factor number is the GCF number.
So the greatest common factor 7957,3439 is 1.
Lets's calculate LCM of 532,862
2 | 532, 862 |
266, 431 |
∴ So the LCM of the given numbers is 2 x 266 x 431 = 229292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229292
Therefore, the GCF of Fractions 7957/532,3439/862 is 1/229292
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 532,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,862) x common factors =2 x 1 = 2
LCM(532,862) = ( 532 × 862 ) / 2
LCM(532,862) = 458584 / 2
LCM(532,862) = 229292
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 7957/532, 3439/862?
Answer: GCF of Numerators as per given numbers 7957/532, 3439/862 is
GCF of Numerators i.e. for 7957,3439 is 1
LCM of denominators i.e. for 532,862 is 229292.
Thus, GCF of Fractions is 1/229292.Finally, GCF of Fractions for 7957/532, 3439/862 is 1/229292.