Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 704/62,127/95,147/356
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 704,127,147
Greatest Common Factor of Numerators i.e. GCF of 704,127,147 is 1 .
LCM of Denominators means LCM of 62,95,356 as per the given fractions.
LCM of 62,95,356 is 1048420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 704,127,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 704,127,147 . The biggest common factor number is the GCF number.
So the greatest common factor 704,127,147 is 1.
Lets's calculate LCM of 62,95,356
2 | 62, 95, 356 |
31, 95, 178 |
∴ So the LCM of the given numbers is 2 x 31 x 95 x 178 = 1048420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1048420
Therefore, the GCF of Fractions 704/62,127/95,147/356 is 1/1048420
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 62,95,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,95,356) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,95,356) x common factors =1 x 2 = 2
LCM(62,95,356) = ( 62 × 95 × 356 ) / 2
LCM(62,95,356) = 2096840 / 2
LCM(62,95,356) = 1048420
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 704/62, 127/95, 147/356?
Answer: GCF of Numerators as per given numbers 704/62, 127/95, 147/356 is
GCF of Numerators i.e. for 704,127,147 is 1
LCM of denominators i.e. for 62,95,356 is 1048420.
Thus, GCF of Fractions is 1/1048420.Finally, GCF of Fractions for 704/62, 127/95, 147/356 is 1/1048420.