Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/770,1800/893
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 533,1800
Greatest Common Factor of Numerators i.e. GCF of 533,1800 is 1 .
LCM of Denominators means LCM of 770,893 as per the given fractions.
LCM of 770,893 is 687610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,1800
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 1800
List of positive integer factors of 1800 that divides 1800 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Greatest Common Factor
We found the factors 533,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 533,1800 is 1.
Lets's calculate LCM of 770,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 687610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/687610
Therefore, the GCF of Fractions 533/770,1800/893 is 1/687610
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 770,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(770,893) x common factors =1 x 1 = 1
LCM(770,893) = ( 770 × 893 ) / 1
LCM(770,893) = 687610 / 1
LCM(770,893) = 687610
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 533/770, 1800/893?
Answer: GCF of Numerators as per given numbers 533/770, 1800/893 is
GCF of Numerators i.e. for 533,1800 is 1
LCM of denominators i.e. for 770,893 is 687610.
Thus, GCF of Fractions is 1/687610.Finally, GCF of Fractions for 533/770, 1800/893 is 1/687610.