Use our free GCF of Fractions Calculator tool to compute the GCF of 1881/743, 2526/7671 i.e 3/5699553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1881/743, 2526/7671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1881/743,2526/7671
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 1881/743,2526/7671, numerators are 1881,2526
Denominators are 743,7671
The GCF of 1881,2526 is 3 .
LCM of 743,7671 is 5699553.
The greatest common factor of 1881/743,2526/7671 = [GCF of 1881,2526]/[LCM of 743,7671]= 3/5699553
Therefore, the GCF of 1881/743,2526/7671 is 3/5699553.
To find the highest common factor of 1881,2526, we have to find the factors of both numbers and list the highest common factor.
The factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881
The factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526
The HCF of 1881,2526 is 3.
Lets's calculate GCF of 1881,2526
3 | 1881, 2526 |
627, 842 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1881
:1,3,9,11,19,33,57,99,171,209,627,1881
Now, list down the factors of 2526
:1,2,3,6,421,842,1263,2526
Greatest Common Factor
We found the factors 1881,2526 . The biggest common factor number is the GCF number.
So the greatest common factor 1881,2526 is 3.
Lets's calculate LCM of 743,7671
Given numbers has no common factors except 1. So, there LCM is their product i.e 5699553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5699553
Therefore, the GCF of Fractions 1881/743,2526/7671 is 3/5699553
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 743,7671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,7671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,7671) x common factors =1 x 1 = 1
LCM(743,7671) = ( 743 × 7671 ) / 1
LCM(743,7671) = 5699553 / 1
LCM(743,7671) = 5699553
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1881,2526?
The HCF of 1881,2526 is 3
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 1881/743, 2526/7671?
Answer: GCF of Numerators as per given numbers 1881/743, 2526/7671 is
GCF of Numerators i.e. for 1881,2526 is 3
LCM of denominators i.e. for 743,7671 is 5699553.
Thus, GCF of Fractions is 3/5699553.Finally, GCF of Fractions for 1881/743, 2526/7671 is 3/5699553.