Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/49,30/19,895/731
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 69,30,895
Greatest Common Factor of Numerators i.e. GCF of 69,30,895 is 1 .
LCM of Denominators means LCM of 49,19,731 as per the given fractions.
LCM of 49,19,731 is 680561 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,30,895
∴ 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 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 69,30,895 . The biggest common factor number is the GCF number.
So the greatest common factor 69,30,895 is 1.
Lets's calculate LCM of 49,19,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 680561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/680561
Therefore, the GCF of Fractions 69/49,30/19,895/731 is 1/680561
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 49,19,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,19,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,19,731) x common factors =1 x 1 = 1
LCM(49,19,731) = ( 49 × 19 × 731 ) / 1
LCM(49,19,731) = 680561 / 1
LCM(49,19,731) = 680561
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 69/49, 30/19, 895/731?
Answer: GCF of Numerators as per given numbers 69/49, 30/19, 895/731 is
GCF of Numerators i.e. for 69,30,895 is 1
LCM of denominators i.e. for 49,19,731 is 680561.
Thus, GCF of Fractions is 1/680561.Finally, GCF of Fractions for 69/49, 30/19, 895/731 is 1/680561.