Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/73,883/67,575/434
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 892,883,575
Greatest Common Factor of Numerators i.e. GCF of 892,883,575 is 1 .
LCM of Denominators means LCM of 73,67,434 as per the given fractions.
LCM of 73,67,434 is 2122694 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,883,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 892,883,575 . The biggest common factor number is the GCF number.
So the greatest common factor 892,883,575 is 1.
Lets's calculate LCM of 73,67,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 2122694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2122694
Therefore, the GCF of Fractions 892/73,883/67,575/434 is 1/2122694
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 73,67,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,67,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,67,434) x common factors =1 x 1 = 1
LCM(73,67,434) = ( 73 × 67 × 434 ) / 1
LCM(73,67,434) = 2122694 / 1
LCM(73,67,434) = 2122694
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 892/73, 883/67, 575/434?
Answer: GCF of Numerators as per given numbers 892/73, 883/67, 575/434 is
GCF of Numerators i.e. for 892,883,575 is 1
LCM of denominators i.e. for 73,67,434 is 2122694.
Thus, GCF of Fractions is 1/2122694.Finally, GCF of Fractions for 892/73, 883/67, 575/434 is 1/2122694.