GCF of 5489/816, 7375/6586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5489/816, 7375/6586 i.e 1/2687088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5489/816, 7375/6586.
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 5489/816,7375/6586?
Given fractions are 5489/816,7375/6586
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 5489/816,7375/6586, numerators are 5489,7375
Denominators are 816,6586
The GCF of 5489,7375 is 1 .
LCM of 816,6586 is 2687088.
The greatest common factor of 5489/816,7375/6586 = [GCF of 5489,7375]/[LCM of 816,6586]= 1/2687088
Therefore, the GCF of 5489/816,7375/6586 is 1/2687088.
To find the highest common factor of 5489,7375, we have to find the factors of both numbers and list the highest common factor.
The factors of 5489 are 1, 11, 499, 5489
The factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375
The HCF of 5489,7375 is 1.
Lets's calculate GCF of 5489,7375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5489,7375 By Matching Biggest Common Factor Method
Now, list down the factors of 5489
:1,11,499,5489
Now, list down the factors of 7375
:1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors 5489,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 5489,7375 is 1.
Lets's calculate LCM of 816,6586
| 2 | 816, 6586 |
| 408, 3293 |
∴ So the LCM of the given numbers is 2 x 408 x 3293 = 2687088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2687088
Therefore, the GCF of Fractions 5489/816,7375/6586 is 1/2687088
Least Common Multiple of 816,6586 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 816,6586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,6586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,6586) x common factors =2 x 1 = 2
LCM(816,6586) = ( 816 × 6586 ) / 2
LCM(816,6586) = 5374176 / 2
LCM(816,6586) = 2687088
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FAQs on GCF of Fractions of 5489/816, 7375/6586
1. What is the HCF of 5489,7375?
The HCF of 5489,7375 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 5489/816, 7375/6586?
Answer: GCF of Numerators as per given numbers 5489/816, 7375/6586 is
GCF of Numerators i.e. for 5489,7375 is 1
LCM of denominators i.e. for 816,6586 is 2687088.
Thus, GCF of Fractions is 1/2687088.Finally, GCF of Fractions for 5489/816, 7375/6586 is 1/2687088.