GCF of 9025/462, 9727/5238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9025/462, 9727/5238 i.e 1/403326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9025/462, 9727/5238.
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 9025/462,9727/5238?
Given fractions are 9025/462,9727/5238
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 9025/462,9727/5238, numerators are 9025,9727
Denominators are 462,5238
The GCF of 9025,9727 is 1 .
LCM of 462,5238 is 403326.
The greatest common factor of 9025/462,9727/5238 = [GCF of 9025,9727]/[LCM of 462,5238]= 1/403326
Therefore, the GCF of 9025/462,9727/5238 is 1/403326.
To find the highest common factor of 9025,9727, we have to find the factors of both numbers and list the highest common factor.
The factors of 9025 are 1, 5, 19, 25, 95, 361, 475, 1805, 9025
The factors of 9727 are 1, 71, 137, 9727
The HCF of 9025,9727 is 1.
Lets's calculate GCF of 9025,9727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9025,9727 By Matching Biggest Common Factor Method
Now, list down the factors of 9025
:1,5,19,25,95,361,475,1805,9025
Now, list down the factors of 9727
:1,71,137,9727
Greatest Common Factor
We found the factors 9025,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 9025,9727 is 1.
Lets's calculate LCM of 462,5238
| 2 | 462, 5238 |
| 3 | 231, 2619 |
| 77, 873 |
∴ So the LCM of the given numbers is 2 x 3 x 77 x 873 = 403326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403326
Therefore, the GCF of Fractions 9025/462,9727/5238 is 1/403326
Least Common Multiple of 462,5238 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 462,5238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5238) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5238) x common factors =6 x 1 = 6
LCM(462,5238) = ( 462 × 5238 ) / 6
LCM(462,5238) = 2419956 / 6
LCM(462,5238) = 403326
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FAQs on GCF of Fractions of 9025/462, 9727/5238
1. What is the HCF of 9025,9727?
The HCF of 9025,9727 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 9025/462, 9727/5238?
Answer: GCF of Numerators as per given numbers 9025/462, 9727/5238 is
GCF of Numerators i.e. for 9025,9727 is 1
LCM of denominators i.e. for 462,5238 is 403326.
Thus, GCF of Fractions is 1/403326.Finally, GCF of Fractions for 9025/462, 9727/5238 is 1/403326.