Use our free GCF of Fractions Calculator tool to compute the GCF of 3136/139, 1863/4102 i.e 1/570178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3136/139, 1863/4102.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3136/139,1863/4102
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3136/139,1863/4102, numerators are 3136,1863
Denominators are 139,4102
The GCF of 3136,1863 is 1 .
LCM of 139,4102 is 570178.
The greatest common factor of 3136/139,1863/4102 = [GCF of 3136,1863]/[LCM of 139,4102]= 1/570178
Therefore, the GCF of 3136/139,1863/4102 is 1/570178.
To find the highest common factor of 3136,1863, we have to find the factors of both numbers and list the highest common factor.
The factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136
The factors of 1863 are 1, 3, 9, 23, 27, 69, 81, 207, 621, 1863
The HCF of 3136,1863 is 1.
Lets's calculate GCF of 3136,1863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3136
:1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136
Now, list down the factors of 1863
:1,3,9,23,27,69,81,207,621,1863
Greatest Common Factor
We found the factors 3136,1863 . The biggest common factor number is the GCF number.
So the greatest common factor 3136,1863 is 1.
Lets's calculate LCM of 139,4102
Given numbers has no common factors except 1. So, there LCM is their product i.e 570178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/570178
Therefore, the GCF of Fractions 3136/139,1863/4102 is 1/570178
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 139,4102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,4102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,4102) x common factors =1 x 1 = 1
LCM(139,4102) = ( 139 × 4102 ) / 1
LCM(139,4102) = 570178 / 1
LCM(139,4102) = 570178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3136,1863?
The HCF of 3136,1863 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 3136/139, 1863/4102?
Answer: GCF of Numerators as per given numbers 3136/139, 1863/4102 is
GCF of Numerators i.e. for 3136,1863 is 1
LCM of denominators i.e. for 139,4102 is 570178.
Thus, GCF of Fractions is 1/570178.Finally, GCF of Fractions for 3136/139, 1863/4102 is 1/570178.