GCF of 3405/530, 9257/8302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3405/530, 9257/8302 i.e 1/2200030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3405/530, 9257/8302.
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 3405/530,9257/8302?
Given fractions are 3405/530,9257/8302
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 3405/530,9257/8302, numerators are 3405,9257
Denominators are 530,8302
The GCF of 3405,9257 is 1 .
LCM of 530,8302 is 2200030.
The greatest common factor of 3405/530,9257/8302 = [GCF of 3405,9257]/[LCM of 530,8302]= 1/2200030
Therefore, the GCF of 3405/530,9257/8302 is 1/2200030.
To find the highest common factor of 3405,9257, we have to find the factors of both numbers and list the highest common factor.
The factors of 3405 are 1, 3, 5, 15, 227, 681, 1135, 3405
The factors of 9257 are 1, 9257
The HCF of 3405,9257 is 1.
Lets's calculate GCF of 3405,9257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3405,9257 By Matching Biggest Common Factor Method
Now, list down the factors of 3405
:1,3,5,15,227,681,1135,3405
Now, list down the factors of 9257
:1,9257
Greatest Common Factor
We found the factors 3405,9257 . The biggest common factor number is the GCF number.
So the greatest common factor 3405,9257 is 1.
Lets's calculate LCM of 530,8302
| 2 | 530, 8302 |
| 265, 4151 |
∴ So the LCM of the given numbers is 2 x 265 x 4151 = 2200030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200030
Therefore, the GCF of Fractions 3405/530,9257/8302 is 1/2200030
Least Common Multiple of 530,8302 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 530,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,8302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(530,8302) x common factors =2 x 1 = 2
LCM(530,8302) = ( 530 × 8302 ) / 2
LCM(530,8302) = 4400060 / 2
LCM(530,8302) = 2200030
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3405/530, 9257/8302
1. What is the HCF of 3405,9257?
The HCF of 3405,9257 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 3405/530, 9257/8302?
Answer: GCF of Numerators as per given numbers 3405/530, 9257/8302 is
GCF of Numerators i.e. for 3405,9257 is 1
LCM of denominators i.e. for 530,8302 is 2200030.
Thus, GCF of Fractions is 1/2200030.Finally, GCF of Fractions for 3405/530, 9257/8302 is 1/2200030.