GCF of 9528/185, 2532/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9528/185, 2532/724 i.e 12/133940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9528/185, 2532/724.
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 9528/185,2532/724?
Given fractions are 9528/185,2532/724
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 9528/185,2532/724, numerators are 9528,2532
Denominators are 185,724
The GCF of 9528,2532 is 12 .
LCM of 185,724 is 133940.
The greatest common factor of 9528/185,2532/724 = [GCF of 9528,2532]/[LCM of 185,724]= 12/133940
Therefore, the GCF of 9528/185,2532/724 is 12/133940.
To find the highest common factor of 9528,2532, we have to find the factors of both numbers and list the highest common factor.
The factors of 9528 are 1, 2, 3, 4, 6, 8, 12, 24, 397, 794, 1191, 1588, 2382, 3176, 4764, 9528
The factors of 2532 are 1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532
The HCF of 9528,2532 is 12.
Lets's calculate GCF of 9528,2532
| 2 | 9528, 2532 |
| 2 | 4764, 1266 |
| 3 | 2382, 633 |
| 794, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9528,2532 By Matching Biggest Common Factor Method
Now, list down the factors of 9528
:1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528
Now, list down the factors of 2532
:1,2,3,4,6,12,211,422,633,844,1266,2532
Greatest Common Factor
We found the factors 9528,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 9528,2532 is 12.
Lets's calculate LCM of 185,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 133940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/133940
Therefore, the GCF of Fractions 9528/185,2532/724 is 12/133940
Least Common Multiple of 185,724 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 185,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,724) x common factors =1 x 1 = 1
LCM(185,724) = ( 185 × 724 ) / 1
LCM(185,724) = 133940 / 1
LCM(185,724) = 133940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9528/185, 2532/724
1. What is the HCF of 9528,2532?
The HCF of 9528,2532 is 12
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 9528/185, 2532/724?
Answer: GCF of Numerators as per given numbers 9528/185, 2532/724 is
GCF of Numerators i.e. for 9528,2532 is 12
LCM of denominators i.e. for 185,724 is 133940.
Thus, GCF of Fractions is 12/133940.Finally, GCF of Fractions for 9528/185, 2532/724 is 12/133940.