Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/777,344/305,107/786
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 859,344,107
Greatest Common Factor of Numerators i.e. GCF of 859,344,107 is 1 .
LCM of Denominators means LCM of 777,305,786 as per the given fractions.
LCM of 777,305,786 is 62090070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 859,344,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 859,344,107 . The biggest common factor number is the GCF number.
So the greatest common factor 859,344,107 is 1.
Lets's calculate LCM of 777,305,786
3 | 777, 305, 786 |
259, 305, 262 |
∴ So the LCM of the given numbers is 3 x 259 x 305 x 262 = 62090070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62090070
Therefore, the GCF of Fractions 859/777,344/305,107/786 is 1/62090070
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 777,305,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,305,786) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(777,305,786) x common factors =1 x 3 = 3
LCM(777,305,786) = ( 777 × 305 × 786 ) / 3
LCM(777,305,786) = 186270210 / 3
LCM(777,305,786) = 62090070
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 859/777, 344/305, 107/786?
Answer: GCF of Numerators as per given numbers 859/777, 344/305, 107/786 is
GCF of Numerators i.e. for 859,344,107 is 1
LCM of denominators i.e. for 777,305,786 is 62090070.
Thus, GCF of Fractions is 1/62090070.Finally, GCF of Fractions for 859/777, 344/305, 107/786 is 1/62090070.