Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/334,649/773,430/829
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 75,649,430
Greatest Common Factor of Numerators i.e. GCF of 75,649,430 is 1 .
LCM of Denominators means LCM of 334,773,829 as per the given fractions.
LCM of 334,773,829 is 214032878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,649,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 75,649,430 . The biggest common factor number is the GCF number.
So the greatest common factor 75,649,430 is 1.
Lets's calculate LCM of 334,773,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 214032878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214032878
Therefore, the GCF of Fractions 75/334,649/773,430/829 is 1/214032878
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 334,773,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,773,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,773,829) x common factors =1 x 1 = 1
LCM(334,773,829) = ( 334 × 773 × 829 ) / 1
LCM(334,773,829) = 214032878 / 1
LCM(334,773,829) = 214032878
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 75/334, 649/773, 430/829?
Answer: GCF of Numerators as per given numbers 75/334, 649/773, 430/829 is
GCF of Numerators i.e. for 75,649,430 is 1
LCM of denominators i.e. for 334,773,829 is 214032878.
Thus, GCF of Fractions is 1/214032878.Finally, GCF of Fractions for 75/334, 649/773, 430/829 is 1/214032878.