GCF of 8362/658, 9250/4459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8362/658, 9250/4459 i.e 74/419146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8362/658, 9250/4459.
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 8362/658,9250/4459?
Given fractions are 8362/658,9250/4459
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 8362/658,9250/4459, numerators are 8362,9250
Denominators are 658,4459
The GCF of 8362,9250 is 74 .
LCM of 658,4459 is 419146.
The greatest common factor of 8362/658,9250/4459 = [GCF of 8362,9250]/[LCM of 658,4459]= 74/419146
Therefore, the GCF of 8362/658,9250/4459 is 74/419146.
To find the highest common factor of 8362,9250, we have to find the factors of both numbers and list the highest common factor.
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The factors of 9250 are 1, 2, 5, 10, 25, 37, 50, 74, 125, 185, 250, 370, 925, 1850, 4625, 9250
The HCF of 8362,9250 is 74.
Lets's calculate GCF of 8362,9250
| 2 | 8362, 9250 |
| 37 | 4181, 4625 |
| 113, 125 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 8362,9250 By Matching Biggest Common Factor Method
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
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 8362,9250 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,9250 is 74.
Lets's calculate LCM of 658,4459
| 7 | 658, 4459 |
| 94, 637 |
∴ So the LCM of the given numbers is 7 x 94 x 637 = 419146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/419146
Therefore, the GCF of Fractions 8362/658,9250/4459 is 74/419146
Least Common Multiple of 658,4459 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 658,4459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,4459) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(658,4459) x common factors =7 x 1 = 7
LCM(658,4459) = ( 658 × 4459 ) / 7
LCM(658,4459) = 2934022 / 7
LCM(658,4459) = 419146
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8362/658, 9250/4459
1. What is the HCF of 8362,9250?
The HCF of 8362,9250 is 74
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 8362/658, 9250/4459?
Answer: GCF of Numerators as per given numbers 8362/658, 9250/4459 is
GCF of Numerators i.e. for 8362,9250 is 74
LCM of denominators i.e. for 658,4459 is 419146.
Thus, GCF of Fractions is 74/419146.Finally, GCF of Fractions for 8362/658, 9250/4459 is 74/419146.