GCF of 9040/159, 2609/8768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9040/159, 2609/8768 i.e 1/1394112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9040/159, 2609/8768.
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 9040/159,2609/8768?
Given fractions are 9040/159,2609/8768
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 9040/159,2609/8768, numerators are 9040,2609
Denominators are 159,8768
The GCF of 9040,2609 is 1 .
LCM of 159,8768 is 1394112.
The greatest common factor of 9040/159,2609/8768 = [GCF of 9040,2609]/[LCM of 159,8768]= 1/1394112
Therefore, the GCF of 9040/159,2609/8768 is 1/1394112.
To find the highest common factor of 9040,2609, 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 2609 are 1, 2609
The HCF of 9040,2609 is 1.
Lets's calculate GCF of 9040,2609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9040,2609 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 2609
:1,2609
Greatest Common Factor
We found the factors 9040,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 9040,2609 is 1.
Lets's calculate LCM of 159,8768
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394112
Therefore, the GCF of Fractions 9040/159,2609/8768 is 1/1394112
Least Common Multiple of 159,8768 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 159,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8768) x common factors =1 x 1 = 1
LCM(159,8768) = ( 159 × 8768 ) / 1
LCM(159,8768) = 1394112 / 1
LCM(159,8768) = 1394112
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FAQs on GCF of Fractions of 9040/159, 2609/8768
1. What is the HCF of 9040,2609?
The HCF of 9040,2609 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 9040/159, 2609/8768?
Answer: GCF of Numerators as per given numbers 9040/159, 2609/8768 is
GCF of Numerators i.e. for 9040,2609 is 1
LCM of denominators i.e. for 159,8768 is 1394112.
Thus, GCF of Fractions is 1/1394112.Finally, GCF of Fractions for 9040/159, 2609/8768 is 1/1394112.