Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/79,901/699
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 443,901
Greatest Common Factor of Numerators i.e. GCF of 443,901 is 1 .
LCM of Denominators means LCM of 79,699 as per the given fractions.
LCM of 79,699 is 55221 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 443,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
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 443,901 . The biggest common factor number is the GCF number.
So the greatest common factor 443,901 is 1.
Lets's calculate LCM of 79,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 55221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55221
Therefore, the GCF of Fractions 443/79,901/699 is 1/55221
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 79,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,699) x common factors =1 x 1 = 1
LCM(79,699) = ( 79 × 699 ) / 1
LCM(79,699) = 55221 / 1
LCM(79,699) = 55221
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 443/79, 901/699?
Answer: GCF of Numerators as per given numbers 443/79, 901/699 is
GCF of Numerators i.e. for 443,901 is 1
LCM of denominators i.e. for 79,699 is 55221.
Thus, GCF of Fractions is 1/55221.Finally, GCF of Fractions for 443/79, 901/699 is 1/55221.