Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 645/78,219/10,254/781
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 645,219,254
Greatest Common Factor of Numerators i.e. GCF of 645,219,254 is 1 .
LCM of Denominators means LCM of 78,10,781 as per the given fractions.
LCM of 78,10,781 is 304590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 645,219,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 645,219,254 . The biggest common factor number is the GCF number.
So the greatest common factor 645,219,254 is 1.
Lets's calculate LCM of 78,10,781
2 | 78, 10, 781 |
39, 5, 781 |
∴ So the LCM of the given numbers is 2 x 39 x 5 x 781 = 304590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304590
Therefore, the GCF of Fractions 645/78,219/10,254/781 is 1/304590
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 78,10,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,10,781) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(78,10,781) x common factors =1 x 2 = 2
LCM(78,10,781) = ( 78 × 10 × 781 ) / 2
LCM(78,10,781) = 609180 / 2
LCM(78,10,781) = 304590
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 645/78, 219/10, 254/781?
Answer: GCF of Numerators as per given numbers 645/78, 219/10, 254/781 is
GCF of Numerators i.e. for 645,219,254 is 1
LCM of denominators i.e. for 78,10,781 is 304590.
Thus, GCF of Fractions is 1/304590.Finally, GCF of Fractions for 645/78, 219/10, 254/781 is 1/304590.