Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 400/210,7616/347
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 400,7616
Greatest Common Factor of Numerators i.e. GCF of 400,7616 is 16 .
LCM of Denominators means LCM of 210,347 as per the given fractions.
LCM of 210,347 is 72870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 400,7616
2 | 400, 7616 |
2 | 200, 3808 |
2 | 100, 1904 |
2 | 50, 952 |
25, 476 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 7616
List of positive integer factors of 7616 that divides 7616 without a remainder.
1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616
Greatest Common Factor
We found the factors 400,7616 . The biggest common factor number is the GCF number.
So the greatest common factor 400,7616 is 16.
Lets's calculate LCM of 210,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 72870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/72870
Therefore, the GCF of Fractions 400/210,7616/347 is 16/72870
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 210,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,347) x common factors =1 x 1 = 1
LCM(210,347) = ( 210 × 347 ) / 1
LCM(210,347) = 72870 / 1
LCM(210,347) = 72870
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 400/210, 7616/347?
Answer: GCF of Numerators as per given numbers 400/210, 7616/347 is
GCF of Numerators i.e. for 400,7616 is 16
LCM of denominators i.e. for 210,347 is 72870.
Thus, GCF of Fractions is 16/72870.Finally, GCF of Fractions for 400/210, 7616/347 is 16/72870.