Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/50,707/79,962/173
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 612,707,962
Greatest Common Factor of Numerators i.e. GCF of 612,707,962 is 1 .
LCM of Denominators means LCM of 50,79,173 as per the given fractions.
LCM of 50,79,173 is 683350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 612,707,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 612,707,962 . The biggest common factor number is the GCF number.
So the greatest common factor 612,707,962 is 1.
Lets's calculate LCM of 50,79,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 683350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683350
Therefore, the GCF of Fractions 612/50,707/79,962/173 is 1/683350
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 50,79,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,79,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,79,173) x common factors =1 x 1 = 1
LCM(50,79,173) = ( 50 × 79 × 173 ) / 1
LCM(50,79,173) = 683350 / 1
LCM(50,79,173) = 683350
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 612/50, 707/79, 962/173?
Answer: GCF of Numerators as per given numbers 612/50, 707/79, 962/173 is
GCF of Numerators i.e. for 612,707,962 is 1
LCM of denominators i.e. for 50,79,173 is 683350.
Thus, GCF of Fractions is 1/683350.Finally, GCF of Fractions for 612/50, 707/79, 962/173 is 1/683350.