GCF of 9005/620, 8421/7574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9005/620, 8421/7574 i.e 1/2347940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9005/620, 8421/7574.
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 9005/620,8421/7574?
Given fractions are 9005/620,8421/7574
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 9005/620,8421/7574, numerators are 9005,8421
Denominators are 620,7574
The GCF of 9005,8421 is 1 .
LCM of 620,7574 is 2347940.
The greatest common factor of 9005/620,8421/7574 = [GCF of 9005,8421]/[LCM of 620,7574]= 1/2347940
Therefore, the GCF of 9005/620,8421/7574 is 1/2347940.
To find the highest common factor of 9005,8421, we have to find the factors of both numbers and list the highest common factor.
The factors of 9005 are 1, 5, 1801, 9005
The factors of 8421 are 1, 3, 7, 21, 401, 1203, 2807, 8421
The HCF of 9005,8421 is 1.
Lets's calculate GCF of 9005,8421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9005,8421 By Matching Biggest Common Factor Method
Now, list down the factors of 9005
:1,5,1801,9005
Now, list down the factors of 8421
:1,3,7,21,401,1203,2807,8421
Greatest Common Factor
We found the factors 9005,8421 . The biggest common factor number is the GCF number.
So the greatest common factor 9005,8421 is 1.
Lets's calculate LCM of 620,7574
| 2 | 620, 7574 |
| 310, 3787 |
∴ So the LCM of the given numbers is 2 x 310 x 3787 = 2347940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2347940
Therefore, the GCF of Fractions 9005/620,8421/7574 is 1/2347940
Least Common Multiple of 620,7574 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 620,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,7574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(620,7574) x common factors =2 x 1 = 2
LCM(620,7574) = ( 620 × 7574 ) / 2
LCM(620,7574) = 4695880 / 2
LCM(620,7574) = 2347940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9005/620, 8421/7574
1. What is the HCF of 9005,8421?
The HCF of 9005,8421 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 9005/620, 8421/7574?
Answer: GCF of Numerators as per given numbers 9005/620, 8421/7574 is
GCF of Numerators i.e. for 9005,8421 is 1
LCM of denominators i.e. for 620,7574 is 2347940.
Thus, GCF of Fractions is 1/2347940.Finally, GCF of Fractions for 9005/620, 8421/7574 is 1/2347940.