Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/763,386/694,479/151
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 187,386,479
Greatest Common Factor of Numerators i.e. GCF of 187,386,479 is 1 .
LCM of Denominators means LCM of 763,694,151 as per the given fractions.
LCM of 763,694,151 is 79957822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,386,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 187,386,479 . The biggest common factor number is the GCF number.
So the greatest common factor 187,386,479 is 1.
Lets's calculate LCM of 763,694,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 79957822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79957822
Therefore, the GCF of Fractions 187/763,386/694,479/151 is 1/79957822
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 763,694,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,694,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,694,151) x common factors =1 x 1 = 1
LCM(763,694,151) = ( 763 × 694 × 151 ) / 1
LCM(763,694,151) = 79957822 / 1
LCM(763,694,151) = 79957822
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 187/763, 386/694, 479/151?
Answer: GCF of Numerators as per given numbers 187/763, 386/694, 479/151 is
GCF of Numerators i.e. for 187,386,479 is 1
LCM of denominators i.e. for 763,694,151 is 79957822.
Thus, GCF of Fractions is 1/79957822.Finally, GCF of Fractions for 187/763, 386/694, 479/151 is 1/79957822.