Use our free GCF of Fractions Calculator tool to compute the GCF of 2062/326, 1761/6374 i.e 1/1038962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2062/326, 1761/6374.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2062/326,1761/6374
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 2062/326,1761/6374, numerators are 2062,1761
Denominators are 326,6374
The GCF of 2062,1761 is 1 .
LCM of 326,6374 is 1038962.
The greatest common factor of 2062/326,1761/6374 = [GCF of 2062,1761]/[LCM of 326,6374]= 1/1038962
Therefore, the GCF of 2062/326,1761/6374 is 1/1038962.
To find the highest common factor of 2062,1761, we have to find the factors of both numbers and list the highest common factor.
The factors of 2062 are 1, 2, 1031, 2062
The factors of 1761 are 1, 3, 587, 1761
The HCF of 2062,1761 is 1.
Lets's calculate GCF of 2062,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2062
:1,2,1031,2062
Now, list down the factors of 1761
:1,3,587,1761
Greatest Common Factor
We found the factors 2062,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 2062,1761 is 1.
Lets's calculate LCM of 326,6374
2 | 326, 6374 |
163, 3187 |
∴ So the LCM of the given numbers is 2 x 163 x 3187 = 1038962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1038962
Therefore, the GCF of Fractions 2062/326,1761/6374 is 1/1038962
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 326,6374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,6374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,6374) x common factors =2 x 1 = 2
LCM(326,6374) = ( 326 × 6374 ) / 2
LCM(326,6374) = 2077924 / 2
LCM(326,6374) = 1038962
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2062,1761?
The HCF of 2062,1761 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 2062/326, 1761/6374?
Answer: GCF of Numerators as per given numbers 2062/326, 1761/6374 is
GCF of Numerators i.e. for 2062,1761 is 1
LCM of denominators i.e. for 326,6374 is 1038962.
Thus, GCF of Fractions is 1/1038962.Finally, GCF of Fractions for 2062/326, 1761/6374 is 1/1038962.