Use our free GCF of Fractions Calculator tool to compute the GCF of 1571/376, 3331/5644 i.e 1/530536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1571/376, 3331/5644.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1571/376,3331/5644
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 1571/376,3331/5644, numerators are 1571,3331
Denominators are 376,5644
The GCF of 1571,3331 is 1 .
LCM of 376,5644 is 530536.
The greatest common factor of 1571/376,3331/5644 = [GCF of 1571,3331]/[LCM of 376,5644]= 1/530536
Therefore, the GCF of 1571/376,3331/5644 is 1/530536.
To find the highest common factor of 1571,3331, we have to find the factors of both numbers and list the highest common factor.
The factors of 1571 are 1, 1571
The factors of 3331 are 1, 3331
The HCF of 1571,3331 is 1.
Lets's calculate GCF of 1571,3331
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1571
:1,1571
Now, list down the factors of 3331
:1,3331
Greatest Common Factor
We found the factors 1571,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 1571,3331 is 1.
Lets's calculate LCM of 376,5644
2 | 376, 5644 |
2 | 188, 2822 |
94, 1411 |
∴ So the LCM of the given numbers is 2 x 2 x 94 x 1411 = 530536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530536
Therefore, the GCF of Fractions 1571/376,3331/5644 is 1/530536
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 376,5644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,5644) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(376,5644) x common factors =4 x 1 = 4
LCM(376,5644) = ( 376 × 5644 ) / 4
LCM(376,5644) = 2122144 / 4
LCM(376,5644) = 530536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1571,3331?
The HCF of 1571,3331 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 1571/376, 3331/5644?
Answer: GCF of Numerators as per given numbers 1571/376, 3331/5644 is
GCF of Numerators i.e. for 1571,3331 is 1
LCM of denominators i.e. for 376,5644 is 530536.
Thus, GCF of Fractions is 1/530536.Finally, GCF of Fractions for 1571/376, 3331/5644 is 1/530536.