Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/23,502/11,672/743
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 245,502,672
Greatest Common Factor of Numerators i.e. GCF of 245,502,672 is 1 .
LCM of Denominators means LCM of 23,11,743 as per the given fractions.
LCM of 23,11,743 is 187979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,502,672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 245,502,672 . The biggest common factor number is the GCF number.
So the greatest common factor 245,502,672 is 1.
Lets's calculate LCM of 23,11,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 187979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187979
Therefore, the GCF of Fractions 245/23,502/11,672/743 is 1/187979
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 23,11,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,11,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,11,743) x common factors =1 x 1 = 1
LCM(23,11,743) = ( 23 × 11 × 743 ) / 1
LCM(23,11,743) = 187979 / 1
LCM(23,11,743) = 187979
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 245/23, 502/11, 672/743?
Answer: GCF of Numerators as per given numbers 245/23, 502/11, 672/743 is
GCF of Numerators i.e. for 245,502,672 is 1
LCM of denominators i.e. for 23,11,743 is 187979.
Thus, GCF of Fractions is 1/187979.Finally, GCF of Fractions for 245/23, 502/11, 672/743 is 1/187979.