Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/82,19/61,98/885,299/389
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 7,19,98,299
Greatest Common Factor of Numerators i.e. GCF of 7,19,98,299 is 1 .
LCM of Denominators means LCM of 82,61,885,389 as per the given fractions.
LCM of 82,61,885,389 is 1722013530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,19,98,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 7,19,98,299 . The biggest common factor number is the GCF number.
So the greatest common factor 7,19,98,299 is 1.
Lets's calculate LCM of 82,61,885,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 1722013530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1722013530
Therefore, the GCF of Fractions 7/82,19/61,98/885,299/389 is 1/1722013530
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 82,61,885,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,61,885,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,61,885,389) x common factors =1 x 1 = 1
LCM(82,61,885,389) = ( 82 × 61 × 885 × 389 ) / 1
LCM(82,61,885,389) = 1722013530 / 1
LCM(82,61,885,389) = 1722013530
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 7/82, 19/61, 98/885, 299/389?
Answer: GCF of Numerators as per given numbers 7/82, 19/61, 98/885, 299/389 is
GCF of Numerators i.e. for 7,19,98,299 is 1
LCM of denominators i.e. for 82,61,885,389 is 1722013530.
Thus, GCF of Fractions is 1/1722013530.Finally, GCF of Fractions for 7/82, 19/61, 98/885, 299/389 is 1/1722013530.