Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/847,25/339,498/215
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 77,25,498
Greatest Common Factor of Numerators i.e. GCF of 77,25,498 is 1 .
LCM of Denominators means LCM of 847,339,215 as per the given fractions.
LCM of 847,339,215 is 61733595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,25,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 77,25,498 . The biggest common factor number is the GCF number.
So the greatest common factor 77,25,498 is 1.
Lets's calculate LCM of 847,339,215
Given numbers has no common factors except 1. So, there LCM is their product i.e 61733595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61733595
Therefore, the GCF of Fractions 77/847,25/339,498/215 is 1/61733595
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 847,339,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,339,215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,339,215) x common factors =1 x 1 = 1
LCM(847,339,215) = ( 847 × 339 × 215 ) / 1
LCM(847,339,215) = 61733595 / 1
LCM(847,339,215) = 61733595
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 77/847, 25/339, 498/215?
Answer: GCF of Numerators as per given numbers 77/847, 25/339, 498/215 is
GCF of Numerators i.e. for 77,25,498 is 1
LCM of denominators i.e. for 847,339,215 is 61733595.
Thus, GCF of Fractions is 1/61733595.Finally, GCF of Fractions for 77/847, 25/339, 498/215 is 1/61733595.