Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/196,263/140,134/436
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 530,263,134
Greatest Common Factor of Numerators i.e. GCF of 530,263,134 is 1 .
LCM of Denominators means LCM of 196,140,436 as per the given fractions.
LCM of 196,140,436 is 106820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,263,134
∴ 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 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 530,263,134 . The biggest common factor number is the GCF number.
So the greatest common factor 530,263,134 is 1.
Lets's calculate LCM of 196,140,436
2 | 196, 140, 436 |
2 | 98, 70, 218 |
7 | 49, 35, 109 |
7, 5, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 7 x 5 x 109 = 106820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106820
Therefore, the GCF of Fractions 530/196,263/140,134/436 is 1/106820
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 196,140,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,140,436) = 4
common factors(in case of two or more numbers have common factors) = 28
GCF(196,140,436) x common factors =4 x 28 = 112
LCM(196,140,436) = ( 196 × 140 × 436 ) / 112
LCM(196,140,436) = 11963840 / 112
LCM(196,140,436) = 106820
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 530/196, 263/140, 134/436?
Answer: GCF of Numerators as per given numbers 530/196, 263/140, 134/436 is
GCF of Numerators i.e. for 530,263,134 is 1
LCM of denominators i.e. for 196,140,436 is 106820.
Thus, GCF of Fractions is 1/106820.Finally, GCF of Fractions for 530/196, 263/140, 134/436 is 1/106820.