Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/49,16/82,59/849,953/862
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 7,16,59,953
Greatest Common Factor of Numerators i.e. GCF of 7,16,59,953 is 1 .
LCM of Denominators means LCM of 49,82,849,862 as per the given fractions.
LCM of 49,82,849,862 is 1470262542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,16,59,953
∴ 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 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 7,16,59,953 . The biggest common factor number is the GCF number.
So the greatest common factor 7,16,59,953 is 1.
Lets's calculate LCM of 49,82,849,862
2 | 49, 82, 849, 862 |
49, 41, 849, 431 |
∴ So the LCM of the given numbers is 2 x 49 x 41 x 849 x 431 = 1470262542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470262542
Therefore, the GCF of Fractions 7/49,16/82,59/849,953/862 is 1/1470262542
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 49,82,849,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,82,849,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(49,82,849,862) x common factors =1 x 2 = 2
LCM(49,82,849,862) = ( 49 × 82 × 849 × 862 ) / 2
LCM(49,82,849,862) = 2940525084 / 2
LCM(49,82,849,862) = 1470262542
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 7/49, 16/82, 59/849, 953/862?
Answer: GCF of Numerators as per given numbers 7/49, 16/82, 59/849, 953/862 is
GCF of Numerators i.e. for 7,16,59,953 is 1
LCM of denominators i.e. for 49,82,849,862 is 1470262542.
Thus, GCF of Fractions is 1/1470262542.Finally, GCF of Fractions for 7/49, 16/82, 59/849, 953/862 is 1/1470262542.