Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/31,83/34,74/821,415/455
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 7,83,74,415
Greatest Common Factor of Numerators i.e. GCF of 7,83,74,415 is 1 .
LCM of Denominators means LCM of 31,34,821,455 as per the given fractions.
LCM of 31,34,821,455 is 393726970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,83,74,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 7,83,74,415 . The biggest common factor number is the GCF number.
So the greatest common factor 7,83,74,415 is 1.
Lets's calculate LCM of 31,34,821,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 393726970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393726970
Therefore, the GCF of Fractions 7/31,83/34,74/821,415/455 is 1/393726970
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 31,34,821,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,34,821,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,34,821,455) x common factors =1 x 1 = 1
LCM(31,34,821,455) = ( 31 × 34 × 821 × 455 ) / 1
LCM(31,34,821,455) = 393726970 / 1
LCM(31,34,821,455) = 393726970
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 7/31, 83/34, 74/821, 415/455?
Answer: GCF of Numerators as per given numbers 7/31, 83/34, 74/821, 415/455 is
GCF of Numerators i.e. for 7,83,74,415 is 1
LCM of denominators i.e. for 31,34,821,455 is 393726970.
Thus, GCF of Fractions is 1/393726970.Finally, GCF of Fractions for 7/31, 83/34, 74/821, 415/455 is 1/393726970.