Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8523/467,1079/971
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 8523,1079
Greatest Common Factor of Numerators i.e. GCF of 8523,1079 is 1 .
LCM of Denominators means LCM of 467,971 as per the given fractions.
LCM of 467,971 is 453457 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8523,1079
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8523
List of positive integer factors of 8523 that divides 8523 without a remainder.
1,3,9,947,2841,8523
Factors of 1079
List of positive integer factors of 1079 that divides 1079 without a remainder.
1,13,83,1079
Greatest Common Factor
We found the factors 8523,1079 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,1079 is 1.
Lets's calculate LCM of 467,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 453457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453457
Therefore, the GCF of Fractions 8523/467,1079/971 is 1/453457
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 467,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,971) x common factors =1 x 1 = 1
LCM(467,971) = ( 467 × 971 ) / 1
LCM(467,971) = 453457 / 1
LCM(467,971) = 453457
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 8523/467, 1079/971?
Answer: GCF of Numerators as per given numbers 8523/467, 1079/971 is
GCF of Numerators i.e. for 8523,1079 is 1
LCM of denominators i.e. for 467,971 is 453457.
Thus, GCF of Fractions is 1/453457.Finally, GCF of Fractions for 8523/467, 1079/971 is 1/453457.