Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/949,31/475,598/901
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 84,31,598
Greatest Common Factor of Numerators i.e. GCF of 84,31,598 is 1 .
LCM of Denominators means LCM of 949,475,901 as per the given fractions.
LCM of 949,475,901 is 406148275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,31,598
∴ So GCF of numbers is 1 because of no common factors present between them.
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 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 84,31,598 . The biggest common factor number is the GCF number.
So the greatest common factor 84,31,598 is 1.
Lets's calculate LCM of 949,475,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 406148275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/406148275
Therefore, the GCF of Fractions 84/949,31/475,598/901 is 1/406148275
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 949,475,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,475,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,475,901) x common factors =1 x 1 = 1
LCM(949,475,901) = ( 949 × 475 × 901 ) / 1
LCM(949,475,901) = 406148275 / 1
LCM(949,475,901) = 406148275
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 84/949, 31/475, 598/901?
Answer: GCF of Numerators as per given numbers 84/949, 31/475, 598/901 is
GCF of Numerators i.e. for 84,31,598 is 1
LCM of denominators i.e. for 949,475,901 is 406148275.
Thus, GCF of Fractions is 1/406148275.Finally, GCF of Fractions for 84/949, 31/475, 598/901 is 1/406148275.