Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/77,774/94,243/107
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 23,774,243
Greatest Common Factor of Numerators i.e. GCF of 23,774,243 is 1 .
LCM of Denominators means LCM of 77,94,107 as per the given fractions.
LCM of 77,94,107 is 774466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,774,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 23,774,243 . The biggest common factor number is the GCF number.
So the greatest common factor 23,774,243 is 1.
Lets's calculate LCM of 77,94,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 774466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/774466
Therefore, the GCF of Fractions 23/77,774/94,243/107 is 1/774466
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 77,94,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,94,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,94,107) x common factors =1 x 1 = 1
LCM(77,94,107) = ( 77 × 94 × 107 ) / 1
LCM(77,94,107) = 774466 / 1
LCM(77,94,107) = 774466
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 23/77, 774/94, 243/107?
Answer: GCF of Numerators as per given numbers 23/77, 774/94, 243/107 is
GCF of Numerators i.e. for 23,774,243 is 1
LCM of denominators i.e. for 77,94,107 is 774466.
Thus, GCF of Fractions is 1/774466.Finally, GCF of Fractions for 23/77, 774/94, 243/107 is 1/774466.