GCF of 9040/452, 5813/7585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/452, 5813/7585 i.e 1/3428420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/452, 5813/7585.
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 9040/452,5813/7585?
Given fractions are 9040/452,5813/7585
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 9040/452,5813/7585, numerators are 9040,5813
Denominators are 452,7585
The GCF of 9040,5813 is 1 .
LCM of 452,7585 is 3428420.
The greatest common factor of 9040/452,5813/7585 = [GCF of 9040,5813]/[LCM of 452,7585]= 1/3428420
Therefore, the GCF of 9040/452,5813/7585 is 1/3428420.
To find the highest common factor of 9040,5813, we have to find the factors of both numbers and list the highest common factor.
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The factors of 5813 are 1, 5813
The HCF of 9040,5813 is 1.
Lets's calculate GCF of 9040,5813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9040,5813 By Matching Biggest Common Factor Method
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Now, list down the factors of 5813
:1,5813
Greatest Common Factor
We found the factors 9040,5813 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,5813 is 1.
Lets's calculate LCM of 452,7585
Given numbers has no common factors except 1. So, there LCM is their product i.e 3428420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3428420
Therefore, the GCF of Fractions 9040/452,5813/7585 is 1/3428420
Least Common Multiple of 452,7585 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 452,7585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,7585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,7585) x common factors =1 x 1 = 1
LCM(452,7585) = ( 452 × 7585 ) / 1
LCM(452,7585) = 3428420 / 1
LCM(452,7585) = 3428420
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9040/452, 5813/7585
1. What is the HCF of 9040,5813?
The HCF of 9040,5813 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 9040/452, 5813/7585?
Answer: GCF of Numerators as per given numbers 9040/452, 5813/7585 is
GCF of Numerators i.e. for 9040,5813 is 1
LCM of denominators i.e. for 452,7585 is 3428420.
Thus, GCF of Fractions is 1/3428420.Finally, GCF of Fractions for 9040/452, 5813/7585 is 1/3428420.