Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/31,350/34,369/211
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 754,350,369
Greatest Common Factor of Numerators i.e. GCF of 754,350,369 is 1 .
LCM of Denominators means LCM of 31,34,211 as per the given fractions.
LCM of 31,34,211 is 222394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,350,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 754,350,369 . The biggest common factor number is the GCF number.
So the greatest common factor 754,350,369 is 1.
Lets's calculate LCM of 31,34,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 222394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222394
Therefore, the GCF of Fractions 754/31,350/34,369/211 is 1/222394
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 31,34,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,34,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,34,211) x common factors =1 x 1 = 1
LCM(31,34,211) = ( 31 × 34 × 211 ) / 1
LCM(31,34,211) = 222394 / 1
LCM(31,34,211) = 222394
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 754/31, 350/34, 369/211?
Answer: GCF of Numerators as per given numbers 754/31, 350/34, 369/211 is
GCF of Numerators i.e. for 754,350,369 is 1
LCM of denominators i.e. for 31,34,211 is 222394.
Thus, GCF of Fractions is 1/222394.Finally, GCF of Fractions for 754/31, 350/34, 369/211 is 1/222394.