Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/588,380/910,738/125
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 102,380,738
Greatest Common Factor of Numerators i.e. GCF of 102,380,738 is 2 .
LCM of Denominators means LCM of 588,910,125 as per the given fractions.
LCM of 588,910,125 is 955500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 102,380,738
2 | 102, 380, 738 |
51, 190, 369 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 102,380,738 . The biggest common factor number is the GCF number.
So the greatest common factor 102,380,738 is 2.
Lets's calculate LCM of 588,910,125
2 | 588, 910, 125 |
5 | 294, 455, 125 |
7 | 294, 91, 25 |
42, 13, 25 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 42 x 13 x 25 = 955500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/955500
Therefore, the GCF of Fractions 102/588,380/910,738/125 is 2/955500
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 588,910,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,910,125) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(588,910,125) x common factors =1 x 70 = 70
LCM(588,910,125) = ( 588 × 910 × 125 ) / 70
LCM(588,910,125) = 66885000 / 70
LCM(588,910,125) = 955500
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 102/588, 380/910, 738/125?
Answer: GCF of Numerators as per given numbers 102/588, 380/910, 738/125 is
GCF of Numerators i.e. for 102,380,738 is 2
LCM of denominators i.e. for 588,910,125 is 955500.
Thus, GCF of Fractions is 2/955500.Finally, GCF of Fractions for 102/588, 380/910, 738/125 is 2/955500.