GCF of 4523/504, 9250/4108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4523/504, 9250/4108 i.e 1/517608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4523/504, 9250/4108.
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 4523/504,9250/4108?
Given fractions are 4523/504,9250/4108
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 4523/504,9250/4108, numerators are 4523,9250
Denominators are 504,4108
The GCF of 4523,9250 is 1 .
LCM of 504,4108 is 517608.
The greatest common factor of 4523/504,9250/4108 = [GCF of 4523,9250]/[LCM of 504,4108]= 1/517608
Therefore, the GCF of 4523/504,9250/4108 is 1/517608.
To find the highest common factor of 4523,9250, we have to find the factors of both numbers and list the highest common factor.
The factors of 4523 are 1, 4523
The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The HCF of 4523,9250 is 1.
Lets's calculate GCF of 4523,9250
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4523,9250 By Matching Biggest Common Factor Method
Now, list down the factors of 4523
:1,4523
Now, list down the factors of 9250
:1,2,5,10,25,37,50,74,125,185,250,370,925,1850,4625,9250
Greatest Common Factor
We found the factors 4523,9250 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,9250 is 1.
Lets's calculate LCM of 504,4108
| 2 | 504, 4108 |
| 2 | 252, 2054 |
| 126, 1027 |
∴ So the LCM of the given numbers is 2 x 2 x 126 x 1027 = 517608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517608
Therefore, the GCF of Fractions 4523/504,9250/4108 is 1/517608
Least Common Multiple of 504,4108 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 504,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,4108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(504,4108) x common factors =4 x 1 = 4
LCM(504,4108) = ( 504 × 4108 ) / 4
LCM(504,4108) = 2070432 / 4
LCM(504,4108) = 517608
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FAQs on GCF of Fractions of 4523/504, 9250/4108
1. What is the HCF of 4523,9250?
The HCF of 4523,9250 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 4523/504, 9250/4108?
Answer: GCF of Numerators as per given numbers 4523/504, 9250/4108 is
GCF of Numerators i.e. for 4523,9250 is 1
LCM of denominators i.e. for 504,4108 is 517608.
Thus, GCF of Fractions is 1/517608.Finally, GCF of Fractions for 4523/504, 9250/4108 is 1/517608.