GCF of 7546/333, 7539/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7546/333, 7539/897 i.e 7/99567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7546/333, 7539/897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7546/333,7539/897?
Given fractions are 7546/333,7539/897
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 7546/333,7539/897, numerators are 7546,7539
Denominators are 333,897
The GCF of 7546,7539 is 7 .
LCM of 333,897 is 99567.
The greatest common factor of 7546/333,7539/897 = [GCF of 7546,7539]/[LCM of 333,897]= 7/99567
Therefore, the GCF of 7546/333,7539/897 is 7/99567.
To find the highest common factor of 7546,7539, we have to find the factors of both numbers and list the highest common factor.
The factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The HCF of 7546,7539 is 7.
Lets's calculate GCF of 7546,7539
| 7 | 7546, 7539 |
| 1078, 1077 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7546,7539 By Matching Biggest Common Factor Method
Now, list down the factors of 7546
:1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Greatest Common Factor
We found the factors 7546,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 7546,7539 is 7.
Lets's calculate LCM of 333,897
| 3 | 333, 897 |
| 111, 299 |
∴ So the LCM of the given numbers is 3 x 111 x 299 = 99567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/99567
Therefore, the GCF of Fractions 7546/333,7539/897 is 7/99567
Least Common Multiple of 333,897 with GCF Formula
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 333,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,897) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,897) x common factors =3 x 1 = 3
LCM(333,897) = ( 333 × 897 ) / 3
LCM(333,897) = 298701 / 3
LCM(333,897) = 99567
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7546/333, 7539/897
1. What is the HCF of 7546,7539?
The HCF of 7546,7539 is 7
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 7546/333, 7539/897?
Answer: GCF of Numerators as per given numbers 7546/333, 7539/897 is
GCF of Numerators i.e. for 7546,7539 is 7
LCM of denominators i.e. for 333,897 is 99567.
Thus, GCF of Fractions is 7/99567.Finally, GCF of Fractions for 7546/333, 7539/897 is 7/99567.