Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5543/879,9647/370
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 5543,9647
Greatest Common Factor of Numerators i.e. GCF of 5543,9647 is 1 .
LCM of Denominators means LCM of 879,370 as per the given fractions.
LCM of 879,370 is 325230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5543,9647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5543
List of positive integer factors of 5543 that divides 5543 without a remainder.
1,23,241,5543
Factors of 9647
List of positive integer factors of 9647 that divides 9647 without a remainder.
1,11,877,9647
Greatest Common Factor
We found the factors 5543,9647 . The biggest common factor number is the GCF number.
So the greatest common factor 5543,9647 is 1.
Lets's calculate LCM of 879,370
Given numbers has no common factors except 1. So, there LCM is their product i.e 325230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325230
Therefore, the GCF of Fractions 5543/879,9647/370 is 1/325230
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 879,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,370) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,370) x common factors =1 x 1 = 1
LCM(879,370) = ( 879 × 370 ) / 1
LCM(879,370) = 325230 / 1
LCM(879,370) = 325230
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 5543/879, 9647/370?
Answer: GCF of Numerators as per given numbers 5543/879, 9647/370 is
GCF of Numerators i.e. for 5543,9647 is 1
LCM of denominators i.e. for 879,370 is 325230.
Thus, GCF of Fractions is 1/325230.Finally, GCF of Fractions for 5543/879, 9647/370 is 1/325230.