Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 261/357,377/953,897/377
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 261,377,897
Greatest Common Factor of Numerators i.e. GCF of 261,377,897 is 1 .
LCM of Denominators means LCM of 357,953,377 as per the given fractions.
LCM of 357,953,377 is 128263317 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 261,377,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 261,377,897 . The biggest common factor number is the GCF number.
So the greatest common factor 261,377,897 is 1.
Lets's calculate LCM of 357,953,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 128263317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128263317
Therefore, the GCF of Fractions 261/357,377/953,897/377 is 1/128263317
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 357,953,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,953,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,953,377) x common factors =1 x 1 = 1
LCM(357,953,377) = ( 357 × 953 × 377 ) / 1
LCM(357,953,377) = 128263317 / 1
LCM(357,953,377) = 128263317
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 261/357, 377/953, 897/377?
Answer: GCF of Numerators as per given numbers 261/357, 377/953, 897/377 is
GCF of Numerators i.e. for 261,377,897 is 1
LCM of denominators i.e. for 357,953,377 is 128263317.
Thus, GCF of Fractions is 1/128263317.Finally, GCF of Fractions for 261/357, 377/953, 897/377 is 1/128263317.