Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/588,76/100,160/364
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 34,76,160
Greatest Common Factor of Numerators i.e. GCF of 34,76,160 is 2 .
LCM of Denominators means LCM of 588,100,364 as per the given fractions.
LCM of 588,100,364 is 191100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,76,160
2 | 34, 76, 160 |
17, 38, 80 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 34,76,160 . The biggest common factor number is the GCF number.
So the greatest common factor 34,76,160 is 2.
Lets's calculate LCM of 588,100,364
2 | 588, 100, 364 |
2 | 294, 50, 182 |
7 | 147, 25, 91 |
21, 25, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 21 x 25 x 13 = 191100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191100
Therefore, the GCF of Fractions 34/588,76/100,160/364 is 2/191100
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 588,100,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,100,364) = 4
common factors(in case of two or more numbers have common factors) = 28
GCF(588,100,364) x common factors =4 x 28 = 112
LCM(588,100,364) = ( 588 × 100 × 364 ) / 112
LCM(588,100,364) = 21403200 / 112
LCM(588,100,364) = 191100
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 34/588, 76/100, 160/364?
Answer: GCF of Numerators as per given numbers 34/588, 76/100, 160/364 is
GCF of Numerators i.e. for 34,76,160 is 2
LCM of denominators i.e. for 588,100,364 is 191100.
Thus, GCF of Fractions is 2/191100.Finally, GCF of Fractions for 34/588, 76/100, 160/364 is 2/191100.