Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/62,351/57,676/689
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 275,351,676
Greatest Common Factor of Numerators i.e. GCF of 275,351,676 is 1 .
LCM of Denominators means LCM of 62,57,689 as per the given fractions.
LCM of 62,57,689 is 2434926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,351,676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Greatest Common Factor
We found the factors 275,351,676 . The biggest common factor number is the GCF number.
So the greatest common factor 275,351,676 is 1.
Lets's calculate LCM of 62,57,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 2434926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2434926
Therefore, the GCF of Fractions 275/62,351/57,676/689 is 1/2434926
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 62,57,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,57,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,57,689) x common factors =1 x 1 = 1
LCM(62,57,689) = ( 62 × 57 × 689 ) / 1
LCM(62,57,689) = 2434926 / 1
LCM(62,57,689) = 2434926
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 275/62, 351/57, 676/689?
Answer: GCF of Numerators as per given numbers 275/62, 351/57, 676/689 is
GCF of Numerators i.e. for 275,351,676 is 1
LCM of denominators i.e. for 62,57,689 is 2434926.
Thus, GCF of Fractions is 1/2434926.Finally, GCF of Fractions for 275/62, 351/57, 676/689 is 1/2434926.