Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 524/36,429/67,260/239
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 524,429,260
Greatest Common Factor of Numerators i.e. GCF of 524,429,260 is 1 .
LCM of Denominators means LCM of 36,67,239 as per the given fractions.
LCM of 36,67,239 is 576468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 524,429,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 524,429,260 . The biggest common factor number is the GCF number.
So the greatest common factor 524,429,260 is 1.
Lets's calculate LCM of 36,67,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 576468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576468
Therefore, the GCF of Fractions 524/36,429/67,260/239 is 1/576468
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 36,67,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,67,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,67,239) x common factors =1 x 1 = 1
LCM(36,67,239) = ( 36 × 67 × 239 ) / 1
LCM(36,67,239) = 576468 / 1
LCM(36,67,239) = 576468
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 524/36, 429/67, 260/239?
Answer: GCF of Numerators as per given numbers 524/36, 429/67, 260/239 is
GCF of Numerators i.e. for 524,429,260 is 1
LCM of denominators i.e. for 36,67,239 is 576468.
Thus, GCF of Fractions is 1/576468.Finally, GCF of Fractions for 524/36, 429/67, 260/239 is 1/576468.