Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/83,56/99,71/436,102/173
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 3,56,71,102
Greatest Common Factor of Numerators i.e. GCF of 3,56,71,102 is 1 .
LCM of Denominators means LCM of 83,99,436,173 as per the given fractions.
LCM of 83,99,436,173 is 619791876 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,56,71,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 3,56,71,102 . The biggest common factor number is the GCF number.
So the greatest common factor 3,56,71,102 is 1.
Lets's calculate LCM of 83,99,436,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 619791876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619791876
Therefore, the GCF of Fractions 3/83,56/99,71/436,102/173 is 1/619791876
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 83,99,436,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,99,436,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,99,436,173) x common factors =1 x 1 = 1
LCM(83,99,436,173) = ( 83 × 99 × 436 × 173 ) / 1
LCM(83,99,436,173) = 619791876 / 1
LCM(83,99,436,173) = 619791876
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 3/83, 56/99, 71/436, 102/173?
Answer: GCF of Numerators as per given numbers 3/83, 56/99, 71/436, 102/173 is
GCF of Numerators i.e. for 3,56,71,102 is 1
LCM of denominators i.e. for 83,99,436,173 is 619791876.
Thus, GCF of Fractions is 1/619791876.Finally, GCF of Fractions for 3/83, 56/99, 71/436, 102/173 is 1/619791876.