Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/343,119/811,169/269
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 140,119,169
Greatest Common Factor of Numerators i.e. GCF of 140,119,169 is 1 .
LCM of Denominators means LCM of 343,811,269 as per the given fractions.
LCM of 343,811,269 is 74828537 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 140,119,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 140,119,169 . The biggest common factor number is the GCF number.
So the greatest common factor 140,119,169 is 1.
Lets's calculate LCM of 343,811,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 74828537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74828537
Therefore, the GCF of Fractions 140/343,119/811,169/269 is 1/74828537
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 343,811,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,811,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,811,269) x common factors =1 x 1 = 1
LCM(343,811,269) = ( 343 × 811 × 269 ) / 1
LCM(343,811,269) = 74828537 / 1
LCM(343,811,269) = 74828537
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 140/343, 119/811, 169/269?
Answer: GCF of Numerators as per given numbers 140/343, 119/811, 169/269 is
GCF of Numerators i.e. for 140,119,169 is 1
LCM of denominators i.e. for 343,811,269 is 74828537.
Thus, GCF of Fractions is 1/74828537.Finally, GCF of Fractions for 140/343, 119/811, 169/269 is 1/74828537.