Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5433/97,2590/748
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 5433,2590
Greatest Common Factor of Numerators i.e. GCF of 5433,2590 is 1 .
LCM of Denominators means LCM of 97,748 as per the given fractions.
LCM of 97,748 is 72556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5433,2590
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5433
List of positive integer factors of 5433 that divides 5433 without a remainder.
1,3,1811,5433
Factors of 2590
List of positive integer factors of 2590 that divides 2590 without a remainder.
1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors 5433,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 5433,2590 is 1.
Lets's calculate LCM of 97,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 72556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72556
Therefore, the GCF of Fractions 5433/97,2590/748 is 1/72556
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 97,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,748) x common factors =1 x 1 = 1
LCM(97,748) = ( 97 × 748 ) / 1
LCM(97,748) = 72556 / 1
LCM(97,748) = 72556
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 5433/97, 2590/748?
Answer: GCF of Numerators as per given numbers 5433/97, 2590/748 is
GCF of Numerators i.e. for 5433,2590 is 1
LCM of denominators i.e. for 97,748 is 72556.
Thus, GCF of Fractions is 1/72556.Finally, GCF of Fractions for 5433/97, 2590/748 is 1/72556.