Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 508/58,158/92,391/547
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 508,158,391
Greatest Common Factor of Numerators i.e. GCF of 508,158,391 is 1 .
LCM of Denominators means LCM of 58,92,547 as per the given fractions.
LCM of 58,92,547 is 1459396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 508,158,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 508,158,391 . The biggest common factor number is the GCF number.
So the greatest common factor 508,158,391 is 1.
Lets's calculate LCM of 58,92,547
2 | 58, 92, 547 |
29, 46, 547 |
∴ So the LCM of the given numbers is 2 x 29 x 46 x 547 = 1459396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1459396
Therefore, the GCF of Fractions 508/58,158/92,391/547 is 1/1459396
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 58,92,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,92,547) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,92,547) x common factors =1 x 2 = 2
LCM(58,92,547) = ( 58 × 92 × 547 ) / 2
LCM(58,92,547) = 2918792 / 2
LCM(58,92,547) = 1459396
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 508/58, 158/92, 391/547?
Answer: GCF of Numerators as per given numbers 508/58, 158/92, 391/547 is
GCF of Numerators i.e. for 508,158,391 is 1
LCM of denominators i.e. for 58,92,547 is 1459396.
Thus, GCF of Fractions is 1/1459396.Finally, GCF of Fractions for 508/58, 158/92, 391/547 is 1/1459396.