Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 709/184,433/382,132/773
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 709,433,132
Greatest Common Factor of Numerators i.e. GCF of 709,433,132 is 1 .
LCM of Denominators means LCM of 184,382,773 as per the given fractions.
LCM of 184,382,773 is 27166312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 709,433,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 709,433,132 . The biggest common factor number is the GCF number.
So the greatest common factor 709,433,132 is 1.
Lets's calculate LCM of 184,382,773
2 | 184, 382, 773 |
92, 191, 773 |
∴ So the LCM of the given numbers is 2 x 92 x 191 x 773 = 27166312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27166312
Therefore, the GCF of Fractions 709/184,433/382,132/773 is 1/27166312
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 184,382,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,382,773) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(184,382,773) x common factors =1 x 2 = 2
LCM(184,382,773) = ( 184 × 382 × 773 ) / 2
LCM(184,382,773) = 54332624 / 2
LCM(184,382,773) = 27166312
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 709/184, 433/382, 132/773?
Answer: GCF of Numerators as per given numbers 709/184, 433/382, 132/773 is
GCF of Numerators i.e. for 709,433,132 is 1
LCM of denominators i.e. for 184,382,773 is 27166312.
Thus, GCF of Fractions is 1/27166312.Finally, GCF of Fractions for 709/184, 433/382, 132/773 is 1/27166312.