GCF of 8782/906, 1589/2064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8782/906, 1589/2064 i.e 1/311664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8782/906, 1589/2064.
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 8782/906,1589/2064?
Given fractions are 8782/906,1589/2064
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 8782/906,1589/2064, numerators are 8782,1589
Denominators are 906,2064
The GCF of 8782,1589 is 1 .
LCM of 906,2064 is 311664.
The greatest common factor of 8782/906,1589/2064 = [GCF of 8782,1589]/[LCM of 906,2064]= 1/311664
Therefore, the GCF of 8782/906,1589/2064 is 1/311664.
To find the highest common factor of 8782,1589, we have to find the factors of both numbers and list the highest common factor.
The factors of 8782 are 1, 2, 4391, 8782
The factors of 1589 are 1, 7, 227, 1589
The HCF of 8782,1589 is 1.
Lets's calculate GCF of 8782,1589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8782,1589 By Matching Biggest Common Factor Method
Now, list down the factors of 8782
:1,2,4391,8782
Now, list down the factors of 1589
:1,7,227,1589
Greatest Common Factor
We found the factors 8782,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 8782,1589 is 1.
Lets's calculate LCM of 906,2064
| 2 | 906, 2064 |
| 3 | 453, 1032 |
| 151, 344 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 344 = 311664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311664
Therefore, the GCF of Fractions 8782/906,1589/2064 is 1/311664
Least Common Multiple of 906,2064 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 906,2064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,2064) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,2064) x common factors =6 x 1 = 6
LCM(906,2064) = ( 906 × 2064 ) / 6
LCM(906,2064) = 1869984 / 6
LCM(906,2064) = 311664
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FAQs on GCF of Fractions of 8782/906, 1589/2064
1. What is the HCF of 8782,1589?
The HCF of 8782,1589 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 8782/906, 1589/2064?
Answer: GCF of Numerators as per given numbers 8782/906, 1589/2064 is
GCF of Numerators i.e. for 8782,1589 is 1
LCM of denominators i.e. for 906,2064 is 311664.
Thus, GCF of Fractions is 1/311664.Finally, GCF of Fractions for 8782/906, 1589/2064 is 1/311664.