Use our free GCF of Fractions Calculator tool to compute the GCF of 1862/644, 1675/2611 i.e 1/240212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1862/644, 1675/2611.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1862/644,1675/2611
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 1862/644,1675/2611, numerators are 1862,1675
Denominators are 644,2611
The GCF of 1862,1675 is 1 .
LCM of 644,2611 is 240212.
The greatest common factor of 1862/644,1675/2611 = [GCF of 1862,1675]/[LCM of 644,2611]= 1/240212
Therefore, the GCF of 1862/644,1675/2611 is 1/240212.
To find the highest common factor of 1862,1675, we have to find the factors of both numbers and list the highest common factor.
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The factors of 1675 are 1, 5, 25, 67, 335, 1675
The HCF of 1862,1675 is 1.
Lets's calculate GCF of 1862,1675
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Now, list down the factors of 1675
:1,5,25,67,335,1675
Greatest Common Factor
We found the factors 1862,1675 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,1675 is 1.
Lets's calculate LCM of 644,2611
7 | 644, 2611 |
92, 373 |
∴ So the LCM of the given numbers is 7 x 92 x 373 = 240212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240212
Therefore, the GCF of Fractions 1862/644,1675/2611 is 1/240212
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 644,2611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,2611) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(644,2611) x common factors =7 x 1 = 7
LCM(644,2611) = ( 644 × 2611 ) / 7
LCM(644,2611) = 1681484 / 7
LCM(644,2611) = 240212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1862,1675?
The HCF of 1862,1675 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 1862/644, 1675/2611?
Answer: GCF of Numerators as per given numbers 1862/644, 1675/2611 is
GCF of Numerators i.e. for 1862,1675 is 1
LCM of denominators i.e. for 644,2611 is 240212.
Thus, GCF of Fractions is 1/240212.Finally, GCF of Fractions for 1862/644, 1675/2611 is 1/240212.