Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/31,931/59,780/585
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 382,931,780
Greatest Common Factor of Numerators i.e. GCF of 382,931,780 is 1 .
LCM of Denominators means LCM of 31,59,585 as per the given fractions.
LCM of 31,59,585 is 1069965 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,931,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
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 382,931,780 . The biggest common factor number is the GCF number.
So the greatest common factor 382,931,780 is 1.
Lets's calculate LCM of 31,59,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 1069965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1069965
Therefore, the GCF of Fractions 382/31,931/59,780/585 is 1/1069965
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 31,59,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,59,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,59,585) x common factors =1 x 1 = 1
LCM(31,59,585) = ( 31 × 59 × 585 ) / 1
LCM(31,59,585) = 1069965 / 1
LCM(31,59,585) = 1069965
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 382/31, 931/59, 780/585?
Answer: GCF of Numerators as per given numbers 382/31, 931/59, 780/585 is
GCF of Numerators i.e. for 382,931,780 is 1
LCM of denominators i.e. for 31,59,585 is 1069965.
Thus, GCF of Fractions is 1/1069965.Finally, GCF of Fractions for 382/31, 931/59, 780/585 is 1/1069965.