Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 281/382,539/930,263/257
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 281,539,263
Greatest Common Factor of Numerators i.e. GCF of 281,539,263 is 1 .
LCM of Denominators means LCM of 382,930,257 as per the given fractions.
LCM of 382,930,257 is 45650910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 281,539,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 281,539,263 . The biggest common factor number is the GCF number.
So the greatest common factor 281,539,263 is 1.
Lets's calculate LCM of 382,930,257
2 | 382, 930, 257 |
191, 465, 257 |
∴ So the LCM of the given numbers is 2 x 191 x 465 x 257 = 45650910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45650910
Therefore, the GCF of Fractions 281/382,539/930,263/257 is 1/45650910
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 382,930,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,930,257) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(382,930,257) x common factors =1 x 2 = 2
LCM(382,930,257) = ( 382 × 930 × 257 ) / 2
LCM(382,930,257) = 91301820 / 2
LCM(382,930,257) = 45650910
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 281/382, 539/930, 263/257?
Answer: GCF of Numerators as per given numbers 281/382, 539/930, 263/257 is
GCF of Numerators i.e. for 281,539,263 is 1
LCM of denominators i.e. for 382,930,257 is 45650910.
Thus, GCF of Fractions is 1/45650910.Finally, GCF of Fractions for 281/382, 539/930, 263/257 is 1/45650910.