GCF of 7526/443, 8584/6379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7526/443, 8584/6379 i.e 2/2825897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7526/443, 8584/6379.
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 7526/443,8584/6379?
Given fractions are 7526/443,8584/6379
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 7526/443,8584/6379, numerators are 7526,8584
Denominators are 443,6379
The GCF of 7526,8584 is 2 .
LCM of 443,6379 is 2825897.
The greatest common factor of 7526/443,8584/6379 = [GCF of 7526,8584]/[LCM of 443,6379]= 2/2825897
Therefore, the GCF of 7526/443,8584/6379 is 2/2825897.
To find the highest common factor of 7526,8584, we have to find the factors of both numbers and list the highest common factor.
The factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The HCF of 7526,8584 is 2.
Lets's calculate GCF of 7526,8584
| 2 | 7526, 8584 |
| 3763, 4292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7526,8584 By Matching Biggest Common Factor Method
Now, list down the factors of 7526
:1,2,53,71,106,142,3763,7526
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Greatest Common Factor
We found the factors 7526,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,8584 is 2.
Lets's calculate LCM of 443,6379
Given numbers has no common factors except 1. So, there LCM is their product i.e 2825897
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2825897
Therefore, the GCF of Fractions 7526/443,8584/6379 is 2/2825897
Least Common Multiple of 443,6379 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 443,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,6379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,6379) x common factors =1 x 1 = 1
LCM(443,6379) = ( 443 × 6379 ) / 1
LCM(443,6379) = 2825897 / 1
LCM(443,6379) = 2825897
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FAQs on GCF of Fractions of 7526/443, 8584/6379
1. What is the HCF of 7526,8584?
The HCF of 7526,8584 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 7526/443, 8584/6379?
Answer: GCF of Numerators as per given numbers 7526/443, 8584/6379 is
GCF of Numerators i.e. for 7526,8584 is 2
LCM of denominators i.e. for 443,6379 is 2825897.
Thus, GCF of Fractions is 2/2825897.Finally, GCF of Fractions for 7526/443, 8584/6379 is 2/2825897.