Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/83,940/51,429/37
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 530,940,429
Greatest Common Factor of Numerators i.e. GCF of 530,940,429 is 1 .
LCM of Denominators means LCM of 83,51,37 as per the given fractions.
LCM of 83,51,37 is 156621 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,940,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 530,940,429 . The biggest common factor number is the GCF number.
So the greatest common factor 530,940,429 is 1.
Lets's calculate LCM of 83,51,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 156621
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156621
Therefore, the GCF of Fractions 530/83,940/51,429/37 is 1/156621
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 83,51,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,51,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,51,37) x common factors =1 x 1 = 1
LCM(83,51,37) = ( 83 × 51 × 37 ) / 1
LCM(83,51,37) = 156621 / 1
LCM(83,51,37) = 156621
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 530/83, 940/51, 429/37?
Answer: GCF of Numerators as per given numbers 530/83, 940/51, 429/37 is
GCF of Numerators i.e. for 530,940,429 is 1
LCM of denominators i.e. for 83,51,37 is 156621.
Thus, GCF of Fractions is 1/156621.Finally, GCF of Fractions for 530/83, 940/51, 429/37 is 1/156621.