Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 742/73,482/49,951/115
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 742,482,951
Greatest Common Factor of Numerators i.e. GCF of 742,482,951 is 1 .
LCM of Denominators means LCM of 73,49,115 as per the given fractions.
LCM of 73,49,115 is 411355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 742,482,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 742,482,951 . The biggest common factor number is the GCF number.
So the greatest common factor 742,482,951 is 1.
Lets's calculate LCM of 73,49,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 411355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411355
Therefore, the GCF of Fractions 742/73,482/49,951/115 is 1/411355
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 73,49,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,49,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,49,115) x common factors =1 x 1 = 1
LCM(73,49,115) = ( 73 × 49 × 115 ) / 1
LCM(73,49,115) = 411355 / 1
LCM(73,49,115) = 411355
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 742/73, 482/49, 951/115?
Answer: GCF of Numerators as per given numbers 742/73, 482/49, 951/115 is
GCF of Numerators i.e. for 742,482,951 is 1
LCM of denominators i.e. for 73,49,115 is 411355.
Thus, GCF of Fractions is 1/411355.Finally, GCF of Fractions for 742/73, 482/49, 951/115 is 1/411355.