Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/19,280/79,326/740
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 457,280,326
Greatest Common Factor of Numerators i.e. GCF of 457,280,326 is 1 .
LCM of Denominators means LCM of 19,79,740 as per the given fractions.
LCM of 19,79,740 is 1110740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,280,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 457,280,326 . The biggest common factor number is the GCF number.
So the greatest common factor 457,280,326 is 1.
Lets's calculate LCM of 19,79,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1110740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1110740
Therefore, the GCF of Fractions 457/19,280/79,326/740 is 1/1110740
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 19,79,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,79,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,79,740) x common factors =1 x 1 = 1
LCM(19,79,740) = ( 19 × 79 × 740 ) / 1
LCM(19,79,740) = 1110740 / 1
LCM(19,79,740) = 1110740
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 457/19, 280/79, 326/740?
Answer: GCF of Numerators as per given numbers 457/19, 280/79, 326/740 is
GCF of Numerators i.e. for 457,280,326 is 1
LCM of denominators i.e. for 19,79,740 is 1110740.
Thus, GCF of Fractions is 1/1110740.Finally, GCF of Fractions for 457/19, 280/79, 326/740 is 1/1110740.