GCF of 8161/869, 5089/9280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8161/869, 5089/9280 i.e 1/8064320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8161/869, 5089/9280.
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 8161/869,5089/9280?
Given fractions are 8161/869,5089/9280
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 8161/869,5089/9280, numerators are 8161,5089
Denominators are 869,9280
The GCF of 8161,5089 is 1 .
LCM of 869,9280 is 8064320.
The greatest common factor of 8161/869,5089/9280 = [GCF of 8161,5089]/[LCM of 869,9280]= 1/8064320
Therefore, the GCF of 8161/869,5089/9280 is 1/8064320.
To find the highest common factor of 8161,5089, we have to find the factors of both numbers and list the highest common factor.
The factors of 8161 are 1, 8161
The factors of 5089 are 1, 7, 727, 5089
The HCF of 8161,5089 is 1.
Lets's calculate GCF of 8161,5089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8161,5089 By Matching Biggest Common Factor Method
Now, list down the factors of 8161
:1,8161
Now, list down the factors of 5089
:1,7,727,5089
Greatest Common Factor
We found the factors 8161,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 8161,5089 is 1.
Lets's calculate LCM of 869,9280
Given numbers has no common factors except 1. So, there LCM is their product i.e 8064320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8064320
Therefore, the GCF of Fractions 8161/869,5089/9280 is 1/8064320
Least Common Multiple of 869,9280 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 869,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,9280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,9280) x common factors =1 x 1 = 1
LCM(869,9280) = ( 869 × 9280 ) / 1
LCM(869,9280) = 8064320 / 1
LCM(869,9280) = 8064320
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FAQs on GCF of Fractions of 8161/869, 5089/9280
1. What is the HCF of 8161,5089?
The HCF of 8161,5089 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 8161/869, 5089/9280?
Answer: GCF of Numerators as per given numbers 8161/869, 5089/9280 is
GCF of Numerators i.e. for 8161,5089 is 1
LCM of denominators i.e. for 869,9280 is 8064320.
Thus, GCF of Fractions is 1/8064320.Finally, GCF of Fractions for 8161/869, 5089/9280 is 1/8064320.