Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/141,255/474,162/343
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 930,255,162
Greatest Common Factor of Numerators i.e. GCF of 930,255,162 is 3 .
LCM of Denominators means LCM of 141,474,343 as per the given fractions.
LCM of 141,474,343 is 7641354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 930,255,162
3 | 930, 255, 162 |
310, 85, 54 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 930,255,162 . The biggest common factor number is the GCF number.
So the greatest common factor 930,255,162 is 3.
Lets's calculate LCM of 141,474,343
3 | 141, 474, 343 |
47, 158, 343 |
∴ So the LCM of the given numbers is 3 x 47 x 158 x 343 = 7641354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7641354
Therefore, the GCF of Fractions 930/141,255/474,162/343 is 3/7641354
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 141,474,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,474,343) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(141,474,343) x common factors =1 x 3 = 3
LCM(141,474,343) = ( 141 × 474 × 343 ) / 3
LCM(141,474,343) = 22924062 / 3
LCM(141,474,343) = 7641354
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 930/141, 255/474, 162/343?
Answer: GCF of Numerators as per given numbers 930/141, 255/474, 162/343 is
GCF of Numerators i.e. for 930,255,162 is 3
LCM of denominators i.e. for 141,474,343 is 7641354.
Thus, GCF of Fractions is 3/7641354.Finally, GCF of Fractions for 930/141, 255/474, 162/343 is 3/7641354.