Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 491/34,842/91,780/975
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 491,842,780
Greatest Common Factor of Numerators i.e. GCF of 491,842,780 is 1 .
LCM of Denominators means LCM of 34,91,975 as per the given fractions.
LCM of 34,91,975 is 232050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 491,842,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 491,842,780 . The biggest common factor number is the GCF number.
So the greatest common factor 491,842,780 is 1.
Lets's calculate LCM of 34,91,975
13 | 34, 91, 975 |
34, 7, 75 |
∴ So the LCM of the given numbers is 13 x 34 x 7 x 75 = 232050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232050
Therefore, the GCF of Fractions 491/34,842/91,780/975 is 1/232050
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 34,91,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,91,975) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(34,91,975) x common factors =1 x 13 = 13
LCM(34,91,975) = ( 34 × 91 × 975 ) / 13
LCM(34,91,975) = 3016650 / 13
LCM(34,91,975) = 232050
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 491/34, 842/91, 780/975?
Answer: GCF of Numerators as per given numbers 491/34, 842/91, 780/975 is
GCF of Numerators i.e. for 491,842,780 is 1
LCM of denominators i.e. for 34,91,975 is 232050.
Thus, GCF of Fractions is 1/232050.Finally, GCF of Fractions for 491/34, 842/91, 780/975 is 1/232050.