Get help with finding GCF of fractions 679/42, 530/2133 using GCF of Fractions Calculator to know the result 1/29862 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 679/42, 530/2133 is 1/29862.
GCF(679/42, 530/2133) = 1/29862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/42,530/2133
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 679,530
Greatest Common Factor of Numerators i.e. GCF of 679,530 is 1 .
LCM of Denominators means LCM of 42,2133 as per the given fractions.
LCM of 42,2133 is 29862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,530
∴ 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.
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
Greatest Common Factor
We found the factors 679,530 . The biggest common factor number is the GCF number.
So the greatest common factor 679,530 is 1.
Lets's calculate LCM of 42,2133
∴ So the LCM of the given numbers is 3 x 14 x 711 = 29862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29862
Therefore, the GCF of Fractions 679/42,530/2133 is 1/29862
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 42,2133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,2133) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(42,2133) x common factors =3 x 1 = 3
LCM(42,2133) = ( 42 × 2133 ) / 3
LCM(42,2133) = 89586 / 3
LCM(42,2133) = 29862
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 679/42, 530/2133?
Answer: GCF of Numerators as per given numbers 679/42, 530/2133 is
GCF of Numerators i.e. for 679,530 is 1
LCM of denominators i.e. for 42,2133 is 29862.
Thus, GCF of Fractions is 1/29862.Finally, GCF of Fractions for 679/42, 530/2133 is 1/29862.