GCF of 7521/188, 9207/9724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7521/188, 9207/9724 i.e 3/457028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7521/188, 9207/9724.
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 7521/188,9207/9724?
Given fractions are 7521/188,9207/9724
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 7521/188,9207/9724, numerators are 7521,9207
Denominators are 188,9724
The GCF of 7521,9207 is 3 .
LCM of 188,9724 is 457028.
The greatest common factor of 7521/188,9207/9724 = [GCF of 7521,9207]/[LCM of 188,9724]= 3/457028
Therefore, the GCF of 7521/188,9207/9724 is 3/457028.
To find the highest common factor of 7521,9207, we have to find the factors of both numbers and list the highest common factor.
The factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The HCF of 7521,9207 is 3.
Lets's calculate GCF of 7521,9207
| 3 | 7521, 9207 |
| 2507, 3069 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7521,9207 By Matching Biggest Common Factor Method
Now, list down the factors of 7521
:1,3,23,69,109,327,2507,7521
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 7521,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 7521,9207 is 3.
Lets's calculate LCM of 188,9724
| 2 | 188, 9724 |
| 2 | 94, 4862 |
| 47, 2431 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 2431 = 457028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/457028
Therefore, the GCF of Fractions 7521/188,9207/9724 is 3/457028
Least Common Multiple of 188,9724 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 188,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,9724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,9724) x common factors =4 x 1 = 4
LCM(188,9724) = ( 188 × 9724 ) / 4
LCM(188,9724) = 1828112 / 4
LCM(188,9724) = 457028
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FAQs on GCF of Fractions of 7521/188, 9207/9724
1. What is the HCF of 7521,9207?
The HCF of 7521,9207 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 7521/188, 9207/9724?
Answer: GCF of Numerators as per given numbers 7521/188, 9207/9724 is
GCF of Numerators i.e. for 7521,9207 is 3
LCM of denominators i.e. for 188,9724 is 457028.
Thus, GCF of Fractions is 3/457028.Finally, GCF of Fractions for 7521/188, 9207/9724 is 3/457028.