GCF of 2524/372, 7569/1138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2524/372, 7569/1138 i.e 1/211668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2524/372, 7569/1138.
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 2524/372,7569/1138?
Given fractions are 2524/372,7569/1138
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 2524/372,7569/1138, numerators are 2524,7569
Denominators are 372,1138
The GCF of 2524,7569 is 1 .
LCM of 372,1138 is 211668.
The greatest common factor of 2524/372,7569/1138 = [GCF of 2524,7569]/[LCM of 372,1138]= 1/211668
Therefore, the GCF of 2524/372,7569/1138 is 1/211668.
To find the highest common factor of 2524,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 2524 are 1, 2, 4, 631, 1262, 2524
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 2524,7569 is 1.
Lets's calculate GCF of 2524,7569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2524,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 2524
:1,2,4,631,1262,2524
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 2524,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 2524,7569 is 1.
Lets's calculate LCM of 372,1138
| 2 | 372, 1138 |
| 186, 569 |
∴ So the LCM of the given numbers is 2 x 186 x 569 = 211668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211668
Therefore, the GCF of Fractions 2524/372,7569/1138 is 1/211668
Least Common Multiple of 372,1138 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 372,1138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1138) x common factors =2 x 1 = 2
LCM(372,1138) = ( 372 × 1138 ) / 2
LCM(372,1138) = 423336 / 2
LCM(372,1138) = 211668
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2524/372, 7569/1138
1. What is the HCF of 2524,7569?
The HCF of 2524,7569 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 2524/372, 7569/1138?
Answer: GCF of Numerators as per given numbers 2524/372, 7569/1138 is
GCF of Numerators i.e. for 2524,7569 is 1
LCM of denominators i.e. for 372,1138 is 211668.
Thus, GCF of Fractions is 1/211668.Finally, GCF of Fractions for 2524/372, 7569/1138 is 1/211668.