Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 340/821,919/730,623/771
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 340,919,623
Greatest Common Factor of Numerators i.e. GCF of 340,919,623 is 1 .
LCM of Denominators means LCM of 821,730,771 as per the given fractions.
LCM of 821,730,771 is 462083430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 340,919,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 340,919,623 . The biggest common factor number is the GCF number.
So the greatest common factor 340,919,623 is 1.
Lets's calculate LCM of 821,730,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 462083430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462083430
Therefore, the GCF of Fractions 340/821,919/730,623/771 is 1/462083430
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 821,730,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,730,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,730,771) x common factors =1 x 1 = 1
LCM(821,730,771) = ( 821 × 730 × 771 ) / 1
LCM(821,730,771) = 462083430 / 1
LCM(821,730,771) = 462083430
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 340/821, 919/730, 623/771?
Answer: GCF of Numerators as per given numbers 340/821, 919/730, 623/771 is
GCF of Numerators i.e. for 340,919,623 is 1
LCM of denominators i.e. for 821,730,771 is 462083430.
Thus, GCF of Fractions is 1/462083430.Finally, GCF of Fractions for 340/821, 919/730, 623/771 is 1/462083430.