Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/40,802/79,901/587
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 484,802,901
Greatest Common Factor of Numerators i.e. GCF of 484,802,901 is 1 .
LCM of Denominators means LCM of 40,79,587 as per the given fractions.
LCM of 40,79,587 is 1854920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,802,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 484,802,901 . The biggest common factor number is the GCF number.
So the greatest common factor 484,802,901 is 1.
Lets's calculate LCM of 40,79,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 1854920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1854920
Therefore, the GCF of Fractions 484/40,802/79,901/587 is 1/1854920
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 40,79,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,79,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,79,587) x common factors =1 x 1 = 1
LCM(40,79,587) = ( 40 × 79 × 587 ) / 1
LCM(40,79,587) = 1854920 / 1
LCM(40,79,587) = 1854920
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 484/40, 802/79, 901/587?
Answer: GCF of Numerators as per given numbers 484/40, 802/79, 901/587 is
GCF of Numerators i.e. for 484,802,901 is 1
LCM of denominators i.e. for 40,79,587 is 1854920.
Thus, GCF of Fractions is 1/1854920.Finally, GCF of Fractions for 484/40, 802/79, 901/587 is 1/1854920.