Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/361,25/715,497/557
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 42,25,497
Greatest Common Factor of Numerators i.e. GCF of 42,25,497 is 1 .
LCM of Denominators means LCM of 361,715,557 as per the given fractions.
LCM of 361,715,557 is 143770055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,25,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 42,25,497 . The biggest common factor number is the GCF number.
So the greatest common factor 42,25,497 is 1.
Lets's calculate LCM of 361,715,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 143770055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143770055
Therefore, the GCF of Fractions 42/361,25/715,497/557 is 1/143770055
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 361,715,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,715,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,715,557) x common factors =1 x 1 = 1
LCM(361,715,557) = ( 361 × 715 × 557 ) / 1
LCM(361,715,557) = 143770055 / 1
LCM(361,715,557) = 143770055
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 42/361, 25/715, 497/557?
Answer: GCF of Numerators as per given numbers 42/361, 25/715, 497/557 is
GCF of Numerators i.e. for 42,25,497 is 1
LCM of denominators i.e. for 361,715,557 is 143770055.
Thus, GCF of Fractions is 1/143770055.Finally, GCF of Fractions for 42/361, 25/715, 497/557 is 1/143770055.