GCF of 6535/164, 8589/7090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6535/164, 8589/7090 i.e 1/581380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6535/164, 8589/7090.
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 6535/164,8589/7090?
Given fractions are 6535/164,8589/7090
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 6535/164,8589/7090, numerators are 6535,8589
Denominators are 164,7090
The GCF of 6535,8589 is 1 .
LCM of 164,7090 is 581380.
The greatest common factor of 6535/164,8589/7090 = [GCF of 6535,8589]/[LCM of 164,7090]= 1/581380
Therefore, the GCF of 6535/164,8589/7090 is 1/581380.
To find the highest common factor of 6535,8589, we have to find the factors of both numbers and list the highest common factor.
The factors of 6535 are 1, 5, 1307, 6535
The factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589
The HCF of 6535,8589 is 1.
Lets's calculate GCF of 6535,8589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6535,8589 By Matching Biggest Common Factor Method
Now, list down the factors of 6535
:1,5,1307,6535
Now, list down the factors of 8589
:1,3,7,21,409,1227,2863,8589
Greatest Common Factor
We found the factors 6535,8589 . The biggest common factor number is the GCF number.
So the greatest common factor 6535,8589 is 1.
Lets's calculate LCM of 164,7090
| 2 | 164, 7090 |
| 82, 3545 |
∴ So the LCM of the given numbers is 2 x 82 x 3545 = 581380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581380
Therefore, the GCF of Fractions 6535/164,8589/7090 is 1/581380
Least Common Multiple of 164,7090 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 164,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,7090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,7090) x common factors =2 x 1 = 2
LCM(164,7090) = ( 164 × 7090 ) / 2
LCM(164,7090) = 1162760 / 2
LCM(164,7090) = 581380
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FAQs on GCF of Fractions of 6535/164, 8589/7090
1. What is the HCF of 6535,8589?
The HCF of 6535,8589 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 6535/164, 8589/7090?
Answer: GCF of Numerators as per given numbers 6535/164, 8589/7090 is
GCF of Numerators i.e. for 6535,8589 is 1
LCM of denominators i.e. for 164,7090 is 581380.
Thus, GCF of Fractions is 1/581380.Finally, GCF of Fractions for 6535/164, 8589/7090 is 1/581380.