Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/22,882/97,367/959
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 69,882,367
Greatest Common Factor of Numerators i.e. GCF of 69,882,367 is 1 .
LCM of Denominators means LCM of 22,97,959 as per the given fractions.
LCM of 22,97,959 is 2046506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,882,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 69,882,367 . The biggest common factor number is the GCF number.
So the greatest common factor 69,882,367 is 1.
Lets's calculate LCM of 22,97,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 2046506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2046506
Therefore, the GCF of Fractions 69/22,882/97,367/959 is 1/2046506
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 22,97,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,97,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,97,959) x common factors =1 x 1 = 1
LCM(22,97,959) = ( 22 × 97 × 959 ) / 1
LCM(22,97,959) = 2046506 / 1
LCM(22,97,959) = 2046506
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 69/22, 882/97, 367/959?
Answer: GCF of Numerators as per given numbers 69/22, 882/97, 367/959 is
GCF of Numerators i.e. for 69,882,367 is 1
LCM of denominators i.e. for 22,97,959 is 2046506.
Thus, GCF of Fractions is 1/2046506.Finally, GCF of Fractions for 69/22, 882/97, 367/959 is 1/2046506.