Use our free GCF of Fractions Calculator tool to compute the GCF of 7277/900, 1589/7675 i.e 1/276300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7277/900, 1589/7675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7277/900,1589/7675
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 7277/900,1589/7675, numerators are 7277,1589
Denominators are 900,7675
The GCF of 7277,1589 is 1 .
LCM of 900,7675 is 276300.
The greatest common factor of 7277/900,1589/7675 = [GCF of 7277,1589]/[LCM of 900,7675]= 1/276300
Therefore, the GCF of 7277/900,1589/7675 is 1/276300.
To find the highest common factor of 7277,1589, we have to find the factors of both numbers and list the highest common factor.
The factors of 7277 are 1, 19, 383, 7277
The factors of 1589 are 1, 7, 227, 1589
The HCF of 7277,1589 is 1.
Lets's calculate GCF of 7277,1589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7277
:1,19,383,7277
Now, list down the factors of 1589
:1,7,227,1589
Greatest Common Factor
We found the factors 7277,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,1589 is 1.
Lets's calculate LCM of 900,7675
5 | 900, 7675 |
5 | 180, 1535 |
36, 307 |
∴ So the LCM of the given numbers is 5 x 5 x 36 x 307 = 276300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276300
Therefore, the GCF of Fractions 7277/900,1589/7675 is 1/276300
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 900,7675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,7675) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(900,7675) x common factors =25 x 1 = 25
LCM(900,7675) = ( 900 × 7675 ) / 25
LCM(900,7675) = 6907500 / 25
LCM(900,7675) = 276300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7277,1589?
The HCF of 7277,1589 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 7277/900, 1589/7675?
Answer: GCF of Numerators as per given numbers 7277/900, 1589/7675 is
GCF of Numerators i.e. for 7277,1589 is 1
LCM of denominators i.e. for 900,7675 is 276300.
Thus, GCF of Fractions is 1/276300.Finally, GCF of Fractions for 7277/900, 1589/7675 is 1/276300.