GCF of 4525/510, 8423/3545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4525/510, 8423/3545 i.e 1/361590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4525/510, 8423/3545.
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 4525/510,8423/3545?
Given fractions are 4525/510,8423/3545
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 4525/510,8423/3545, numerators are 4525,8423
Denominators are 510,3545
The GCF of 4525,8423 is 1 .
LCM of 510,3545 is 361590.
The greatest common factor of 4525/510,8423/3545 = [GCF of 4525,8423]/[LCM of 510,3545]= 1/361590
Therefore, the GCF of 4525/510,8423/3545 is 1/361590.
To find the highest common factor of 4525,8423, we have to find the factors of both numbers and list the highest common factor.
The factors of 4525 are 1, 5, 25, 181, 905, 4525
The factors of 8423 are 1, 8423
The HCF of 4525,8423 is 1.
Lets's calculate GCF of 4525,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4525,8423 By Matching Biggest Common Factor Method
Now, list down the factors of 4525
:1,5,25,181,905,4525
Now, list down the factors of 8423
:1,8423
Greatest Common Factor
We found the factors 4525,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 4525,8423 is 1.
Lets's calculate LCM of 510,3545
| 5 | 510, 3545 |
| 102, 709 |
∴ So the LCM of the given numbers is 5 x 102 x 709 = 361590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361590
Therefore, the GCF of Fractions 4525/510,8423/3545 is 1/361590
Least Common Multiple of 510,3545 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 510,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,3545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(510,3545) x common factors =5 x 1 = 5
LCM(510,3545) = ( 510 × 3545 ) / 5
LCM(510,3545) = 1807950 / 5
LCM(510,3545) = 361590
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FAQs on GCF of Fractions of 4525/510, 8423/3545
1. What is the HCF of 4525,8423?
The HCF of 4525,8423 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 4525/510, 8423/3545?
Answer: GCF of Numerators as per given numbers 4525/510, 8423/3545 is
GCF of Numerators i.e. for 4525,8423 is 1
LCM of denominators i.e. for 510,3545 is 361590.
Thus, GCF of Fractions is 1/361590.Finally, GCF of Fractions for 4525/510, 8423/3545 is 1/361590.