Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/999,41/470
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 84,41
Greatest Common Factor of Numerators i.e. GCF of 84,41 is 1 .
LCM of Denominators means LCM of 999,470 as per the given fractions.
LCM of 999,470 is 469530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,41
∴ 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 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Greatest Common Factor
We found the factors 84,41 . The biggest common factor number is the GCF number.
So the greatest common factor 84,41 is 1.
Lets's calculate LCM of 999,470
Given numbers has no common factors except 1. So, there LCM is their product i.e 469530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469530
Therefore, the GCF of Fractions 84/999,41/470 is 1/469530
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 999,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,470) x common factors =1 x 1 = 1
LCM(999,470) = ( 999 × 470 ) / 1
LCM(999,470) = 469530 / 1
LCM(999,470) = 469530
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 84/999, 41/470?
Answer: GCF of Numerators as per given numbers 84/999, 41/470 is
GCF of Numerators i.e. for 84,41 is 1
LCM of denominators i.e. for 999,470 is 469530.
Thus, GCF of Fractions is 1/469530.Finally, GCF of Fractions for 84/999, 41/470 is 1/469530.