Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 539/62,897/2508
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 539,897
Greatest Common Factor of Numerators i.e. GCF of 539,897 is 1 .
LCM of Denominators means LCM of 62,2508 as per the given fractions.
LCM of 62,2508 is 77748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 539,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 539,897 . The biggest common factor number is the GCF number.
So the greatest common factor 539,897 is 1.
Lets's calculate LCM of 62,2508
2 | 62, 2508 |
31, 1254 |
∴ So the LCM of the given numbers is 2 x 31 x 1254 = 77748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77748
Therefore, the GCF of Fractions 539/62,897/2508 is 1/77748
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 62,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,2508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,2508) x common factors =2 x 1 = 2
LCM(62,2508) = ( 62 × 2508 ) / 2
LCM(62,2508) = 155496 / 2
LCM(62,2508) = 77748
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 539/62, 897/2508?
Answer: GCF of Numerators as per given numbers 539/62, 897/2508 is
GCF of Numerators i.e. for 539,897 is 1
LCM of denominators i.e. for 62,2508 is 77748.
Thus, GCF of Fractions is 1/77748.Finally, GCF of Fractions for 539/62, 897/2508 is 1/77748.