Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/71,34/176,713/334
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 39,34,713
Greatest Common Factor of Numerators i.e. GCF of 39,34,713 is 1 .
LCM of Denominators means LCM of 71,176,334 as per the given fractions.
LCM of 71,176,334 is 2086832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,34,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 39,34,713 . The biggest common factor number is the GCF number.
So the greatest common factor 39,34,713 is 1.
Lets's calculate LCM of 71,176,334
2 | 71, 176, 334 |
71, 88, 167 |
∴ So the LCM of the given numbers is 2 x 71 x 88 x 167 = 2086832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2086832
Therefore, the GCF of Fractions 39/71,34/176,713/334 is 1/2086832
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 71,176,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,176,334) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,176,334) x common factors =1 x 2 = 2
LCM(71,176,334) = ( 71 × 176 × 334 ) / 2
LCM(71,176,334) = 4173664 / 2
LCM(71,176,334) = 2086832
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 39/71, 34/176, 713/334?
Answer: GCF of Numerators as per given numbers 39/71, 34/176, 713/334 is
GCF of Numerators i.e. for 39,34,713 is 1
LCM of denominators i.e. for 71,176,334 is 2086832.
Thus, GCF of Fractions is 1/2086832.Finally, GCF of Fractions for 39/71, 34/176, 713/334 is 1/2086832.