Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/16,154/49,718/279
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 703,154,718
Greatest Common Factor of Numerators i.e. GCF of 703,154,718 is 1 .
LCM of Denominators means LCM of 16,49,279 as per the given fractions.
LCM of 16,49,279 is 218736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,154,718
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 703,154,718 . The biggest common factor number is the GCF number.
So the greatest common factor 703,154,718 is 1.
Lets's calculate LCM of 16,49,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 218736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218736
Therefore, the GCF of Fractions 703/16,154/49,718/279 is 1/218736
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 16,49,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,49,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,49,279) x common factors =1 x 1 = 1
LCM(16,49,279) = ( 16 × 49 × 279 ) / 1
LCM(16,49,279) = 218736 / 1
LCM(16,49,279) = 218736
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 703/16, 154/49, 718/279?
Answer: GCF of Numerators as per given numbers 703/16, 154/49, 718/279 is
GCF of Numerators i.e. for 703,154,718 is 1
LCM of denominators i.e. for 16,49,279 is 218736.
Thus, GCF of Fractions is 1/218736.Finally, GCF of Fractions for 703/16, 154/49, 718/279 is 1/218736.