GCF of 9529/408, 2179/2638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9529/408, 2179/2638 i.e 1/538152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9529/408, 2179/2638.
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 9529/408,2179/2638?
Given fractions are 9529/408,2179/2638
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 9529/408,2179/2638, numerators are 9529,2179
Denominators are 408,2638
The GCF of 9529,2179 is 1 .
LCM of 408,2638 is 538152.
The greatest common factor of 9529/408,2179/2638 = [GCF of 9529,2179]/[LCM of 408,2638]= 1/538152
Therefore, the GCF of 9529/408,2179/2638 is 1/538152.
To find the highest common factor of 9529,2179, we have to find the factors of both numbers and list the highest common factor.
The factors of 9529 are 1, 13, 733, 9529
The factors of 2179 are 1, 2179
The HCF of 9529,2179 is 1.
Lets's calculate GCF of 9529,2179
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9529,2179 By Matching Biggest Common Factor Method
Now, list down the factors of 9529
:1,13,733,9529
Now, list down the factors of 2179
:1,2179
Greatest Common Factor
We found the factors 9529,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 9529,2179 is 1.
Lets's calculate LCM of 408,2638
| 2 | 408, 2638 |
| 204, 1319 |
∴ So the LCM of the given numbers is 2 x 204 x 1319 = 538152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538152
Therefore, the GCF of Fractions 9529/408,2179/2638 is 1/538152
Least Common Multiple of 408,2638 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 408,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,2638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(408,2638) x common factors =2 x 1 = 2
LCM(408,2638) = ( 408 × 2638 ) / 2
LCM(408,2638) = 1076304 / 2
LCM(408,2638) = 538152
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FAQs on GCF of Fractions of 9529/408, 2179/2638
1. What is the HCF of 9529,2179?
The HCF of 9529,2179 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 9529/408, 2179/2638?
Answer: GCF of Numerators as per given numbers 9529/408, 2179/2638 is
GCF of Numerators i.e. for 9529,2179 is 1
LCM of denominators i.e. for 408,2638 is 538152.
Thus, GCF of Fractions is 1/538152.Finally, GCF of Fractions for 9529/408, 2179/2638 is 1/538152.