Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/887,2423/523
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 679,2423
Greatest Common Factor of Numerators i.e. GCF of 679,2423 is 1 .
LCM of Denominators means LCM of 887,523 as per the given fractions.
LCM of 887,523 is 463901 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 679,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 679,2423 is 1.
Lets's calculate LCM of 887,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 463901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463901
Therefore, the GCF of Fractions 679/887,2423/523 is 1/463901
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 887,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,523) x common factors =1 x 1 = 1
LCM(887,523) = ( 887 × 523 ) / 1
LCM(887,523) = 463901 / 1
LCM(887,523) = 463901
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 679/887, 2423/523?
Answer: GCF of Numerators as per given numbers 679/887, 2423/523 is
GCF of Numerators i.e. for 679,2423 is 1
LCM of denominators i.e. for 887,523 is 463901.
Thus, GCF of Fractions is 1/463901.Finally, GCF of Fractions for 679/887, 2423/523 is 1/463901.