GCF of 8639/522, 7525/4350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8639/522, 7525/4350 i.e 1/13050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8639/522, 7525/4350.
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 8639/522,7525/4350?
Given fractions are 8639/522,7525/4350
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 8639/522,7525/4350, numerators are 8639,7525
Denominators are 522,4350
The GCF of 8639,7525 is 1 .
LCM of 522,4350 is 13050.
The greatest common factor of 8639/522,7525/4350 = [GCF of 8639,7525]/[LCM of 522,4350]= 1/13050
Therefore, the GCF of 8639/522,7525/4350 is 1/13050.
To find the highest common factor of 8639,7525, we have to find the factors of both numbers and list the highest common factor.
The factors of 8639 are 1, 53, 163, 8639
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The HCF of 8639,7525 is 1.
Lets's calculate GCF of 8639,7525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8639,7525 By Matching Biggest Common Factor Method
Now, list down the factors of 8639
:1,53,163,8639
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Greatest Common Factor
We found the factors 8639,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 8639,7525 is 1.
Lets's calculate LCM of 522,4350
| 2 | 522, 4350 |
| 3 | 261, 2175 |
| 29 | 87, 725 |
| 3, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 3 x 25 = 13050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13050
Therefore, the GCF of Fractions 8639/522,7525/4350 is 1/13050
Least Common Multiple of 522,4350 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 522,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,4350) = 174
common factors(in case of two or more numbers have common factors) = 1
GCF(522,4350) x common factors =174 x 1 = 174
LCM(522,4350) = ( 522 × 4350 ) / 174
LCM(522,4350) = 2270700 / 174
LCM(522,4350) = 13050
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FAQs on GCF of Fractions of 8639/522, 7525/4350
1. What is the HCF of 8639,7525?
The HCF of 8639,7525 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 8639/522, 7525/4350?
Answer: GCF of Numerators as per given numbers 8639/522, 7525/4350 is
GCF of Numerators i.e. for 8639,7525 is 1
LCM of denominators i.e. for 522,4350 is 13050.
Thus, GCF of Fractions is 1/13050.Finally, GCF of Fractions for 8639/522, 7525/4350 is 1/13050.