Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/51,34/77,669/529
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 59,34,669
Greatest Common Factor of Numerators i.e. GCF of 59,34,669 is 1 .
LCM of Denominators means LCM of 51,77,529 as per the given fractions.
LCM of 51,77,529 is 2077383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,34,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 59,34,669 . The biggest common factor number is the GCF number.
So the greatest common factor 59,34,669 is 1.
Lets's calculate LCM of 51,77,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 2077383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2077383
Therefore, the GCF of Fractions 59/51,34/77,669/529 is 1/2077383
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 51,77,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,77,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,77,529) x common factors =1 x 1 = 1
LCM(51,77,529) = ( 51 × 77 × 529 ) / 1
LCM(51,77,529) = 2077383 / 1
LCM(51,77,529) = 2077383
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 59/51, 34/77, 669/529?
Answer: GCF of Numerators as per given numbers 59/51, 34/77, 669/529 is
GCF of Numerators i.e. for 59,34,669 is 1
LCM of denominators i.e. for 51,77,529 is 2077383.
Thus, GCF of Fractions is 1/2077383.Finally, GCF of Fractions for 59/51, 34/77, 669/529 is 1/2077383.