GCF of 9524/450, 8242/7678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9524/450, 8242/7678 i.e 2/1727550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9524/450, 8242/7678.
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 9524/450,8242/7678?
Given fractions are 9524/450,8242/7678
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 9524/450,8242/7678, numerators are 9524,8242
Denominators are 450,7678
The GCF of 9524,8242 is 2 .
LCM of 450,7678 is 1727550.
The greatest common factor of 9524/450,8242/7678 = [GCF of 9524,8242]/[LCM of 450,7678]= 2/1727550
Therefore, the GCF of 9524/450,8242/7678 is 2/1727550.
To find the highest common factor of 9524,8242, 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 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242
The HCF of 9524,8242 is 2.
Lets's calculate GCF of 9524,8242
| 2 | 9524, 8242 |
| 4762, 4121 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9524,8242 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 8242
:1,2,13,26,317,634,4121,8242
Greatest Common Factor
We found the factors 9524,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,8242 is 2.
Lets's calculate LCM of 450,7678
| 2 | 450, 7678 |
| 225, 3839 |
∴ So the LCM of the given numbers is 2 x 225 x 3839 = 1727550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1727550
Therefore, the GCF of Fractions 9524/450,8242/7678 is 2/1727550
Least Common Multiple of 450,7678 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 450,7678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,7678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,7678) x common factors =2 x 1 = 2
LCM(450,7678) = ( 450 × 7678 ) / 2
LCM(450,7678) = 3455100 / 2
LCM(450,7678) = 1727550
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FAQs on GCF of Fractions of 9524/450, 8242/7678
1. What is the HCF of 9524,8242?
The HCF of 9524,8242 is 2
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 9524/450, 8242/7678?
Answer: GCF of Numerators as per given numbers 9524/450, 8242/7678 is
GCF of Numerators i.e. for 9524,8242 is 2
LCM of denominators i.e. for 450,7678 is 1727550.
Thus, GCF of Fractions is 2/1727550.Finally, GCF of Fractions for 9524/450, 8242/7678 is 2/1727550.