Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/837,766/568,126/833
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 73,766,126
Greatest Common Factor of Numerators i.e. GCF of 73,766,126 is 1 .
LCM of Denominators means LCM of 837,568,833 as per the given fractions.
LCM of 837,568,833 is 396021528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,766,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 73,766,126 . The biggest common factor number is the GCF number.
So the greatest common factor 73,766,126 is 1.
Lets's calculate LCM of 837,568,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 396021528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/396021528
Therefore, the GCF of Fractions 73/837,766/568,126/833 is 1/396021528
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 837,568,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,568,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,568,833) x common factors =1 x 1 = 1
LCM(837,568,833) = ( 837 × 568 × 833 ) / 1
LCM(837,568,833) = 396021528 / 1
LCM(837,568,833) = 396021528
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 73/837, 766/568, 126/833?
Answer: GCF of Numerators as per given numbers 73/837, 766/568, 126/833 is
GCF of Numerators i.e. for 73,766,126 is 1
LCM of denominators i.e. for 837,568,833 is 396021528.
Thus, GCF of Fractions is 1/396021528.Finally, GCF of Fractions for 73/837, 766/568, 126/833 is 1/396021528.