GCF of 9524/406, 7024/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9524/406, 7024/812 i.e 4/812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9524/406, 7024/812.
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 9524/406,7024/812?
Given fractions are 9524/406,7024/812
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 9524/406,7024/812, numerators are 9524,7024
Denominators are 406,812
The GCF of 9524,7024 is 4 .
LCM of 406,812 is 812.
The greatest common factor of 9524/406,7024/812 = [GCF of 9524,7024]/[LCM of 406,812]= 4/812
Therefore, the GCF of 9524/406,7024/812 is 4/812.
To find the highest common factor of 9524,7024, we have to find the factors of both numbers and list the highest common factor.
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The HCF of 9524,7024 is 4.
Lets's calculate GCF of 9524,7024
| 2 | 9524, 7024 |
| 2 | 4762, 3512 |
| 2381, 1756 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9524,7024 By Matching Biggest Common Factor Method
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Greatest Common Factor
We found the factors 9524,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,7024 is 4.
Lets's calculate LCM of 406,812
| 2 | 406, 812 |
| 7 | 203, 406 |
| 29 | 29, 58 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 7 x 29 x 1 x 2 = 812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/812
Therefore, the GCF of Fractions 9524/406,7024/812 is 4/812
Least Common Multiple of 406,812 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 406,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,812) = 406
common factors(in case of two or more numbers have common factors) = 1
GCF(406,812) x common factors =406 x 1 = 406
LCM(406,812) = ( 406 × 812 ) / 406
LCM(406,812) = 329672 / 406
LCM(406,812) = 812
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FAQs on GCF of Fractions of 9524/406, 7024/812
1. What is the HCF of 9524,7024?
The HCF of 9524,7024 is 4
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 9524/406, 7024/812?
Answer: GCF of Numerators as per given numbers 9524/406, 7024/812 is
GCF of Numerators i.e. for 9524,7024 is 4
LCM of denominators i.e. for 406,812 is 812.
Thus, GCF of Fractions is 4/812.Finally, GCF of Fractions for 9524/406, 7024/812 is 4/812.