Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/949,84/856,385/885
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 57,84,385
Greatest Common Factor of Numerators i.e. GCF of 57,84,385 is 1 .
LCM of Denominators means LCM of 949,856,885 as per the given fractions.
LCM of 949,856,885 is 718924440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,84,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 57,84,385 . The biggest common factor number is the GCF number.
So the greatest common factor 57,84,385 is 1.
Lets's calculate LCM of 949,856,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 718924440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718924440
Therefore, the GCF of Fractions 57/949,84/856,385/885 is 1/718924440
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 949,856,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,856,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,856,885) x common factors =1 x 1 = 1
LCM(949,856,885) = ( 949 × 856 × 885 ) / 1
LCM(949,856,885) = 718924440 / 1
LCM(949,856,885) = 718924440
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 57/949, 84/856, 385/885?
Answer: GCF of Numerators as per given numbers 57/949, 84/856, 385/885 is
GCF of Numerators i.e. for 57,84,385 is 1
LCM of denominators i.e. for 949,856,885 is 718924440.
Thus, GCF of Fractions is 1/718924440.Finally, GCF of Fractions for 57/949, 84/856, 385/885 is 1/718924440.