Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/693,194/254,165/579
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 781,194,165
Greatest Common Factor of Numerators i.e. GCF of 781,194,165 is 1 .
LCM of Denominators means LCM of 693,254,579 as per the given fractions.
LCM of 693,254,579 is 33972246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 781,194,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 781,194,165 . The biggest common factor number is the GCF number.
So the greatest common factor 781,194,165 is 1.
Lets's calculate LCM of 693,254,579
3 | 693, 254, 579 |
231, 254, 193 |
∴ So the LCM of the given numbers is 3 x 231 x 254 x 193 = 33972246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33972246
Therefore, the GCF of Fractions 781/693,194/254,165/579 is 1/33972246
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 693,254,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,254,579) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(693,254,579) x common factors =1 x 3 = 3
LCM(693,254,579) = ( 693 × 254 × 579 ) / 3
LCM(693,254,579) = 101916738 / 3
LCM(693,254,579) = 33972246
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 781/693, 194/254, 165/579?
Answer: GCF of Numerators as per given numbers 781/693, 194/254, 165/579 is
GCF of Numerators i.e. for 781,194,165 is 1
LCM of denominators i.e. for 693,254,579 is 33972246.
Thus, GCF of Fractions is 1/33972246.Finally, GCF of Fractions for 781/693, 194/254, 165/579 is 1/33972246.