Use our free GCF of Fractions Calculator tool to compute the GCF of 3701/654, 1859/2869 i.e 1/1876326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3701/654, 1859/2869.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3701/654,1859/2869
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 3701/654,1859/2869, numerators are 3701,1859
Denominators are 654,2869
The GCF of 3701,1859 is 1 .
LCM of 654,2869 is 1876326.
The greatest common factor of 3701/654,1859/2869 = [GCF of 3701,1859]/[LCM of 654,2869]= 1/1876326
Therefore, the GCF of 3701/654,1859/2869 is 1/1876326.
To find the highest common factor of 3701,1859, we have to find the factors of both numbers and list the highest common factor.
The factors of 3701 are 1, 3701
The factors of 1859 are 1, 11, 13, 143, 169, 1859
The HCF of 3701,1859 is 1.
Lets's calculate GCF of 3701,1859
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3701
:1,3701
Now, list down the factors of 1859
:1,11,13,143,169,1859
Greatest Common Factor
We found the factors 3701,1859 . The biggest common factor number is the GCF number.
So the greatest common factor 3701,1859 is 1.
Lets's calculate LCM of 654,2869
Given numbers has no common factors except 1. So, there LCM is their product i.e 1876326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1876326
Therefore, the GCF of Fractions 3701/654,1859/2869 is 1/1876326
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 654,2869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,2869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,2869) x common factors =1 x 1 = 1
LCM(654,2869) = ( 654 × 2869 ) / 1
LCM(654,2869) = 1876326 / 1
LCM(654,2869) = 1876326
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3701,1859?
The HCF of 3701,1859 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 3701/654, 1859/2869?
Answer: GCF of Numerators as per given numbers 3701/654, 1859/2869 is
GCF of Numerators i.e. for 3701,1859 is 1
LCM of denominators i.e. for 654,2869 is 1876326.
Thus, GCF of Fractions is 1/1876326.Finally, GCF of Fractions for 3701/654, 1859/2869 is 1/1876326.