GCF of 8089/919, 1840/6179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8089/919, 1840/6179 i.e 1/5678501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8089/919, 1840/6179.
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 8089/919,1840/6179?
Given fractions are 8089/919,1840/6179
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 8089/919,1840/6179, numerators are 8089,1840
Denominators are 919,6179
The GCF of 8089,1840 is 1 .
LCM of 919,6179 is 5678501.
The greatest common factor of 8089/919,1840/6179 = [GCF of 8089,1840]/[LCM of 919,6179]= 1/5678501
Therefore, the GCF of 8089/919,1840/6179 is 1/5678501.
To find the highest common factor of 8089,1840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8089 are 1, 8089
The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840
The HCF of 8089,1840 is 1.
Lets's calculate GCF of 8089,1840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8089,1840 By Matching Biggest Common Factor Method
Now, list down the factors of 8089
:1,8089
Now, list down the factors of 1840
:1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840
Greatest Common Factor
We found the factors 8089,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 8089,1840 is 1.
Lets's calculate LCM of 919,6179
Given numbers has no common factors except 1. So, there LCM is their product i.e 5678501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5678501
Therefore, the GCF of Fractions 8089/919,1840/6179 is 1/5678501
Least Common Multiple of 919,6179 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 919,6179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,6179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,6179) x common factors =1 x 1 = 1
LCM(919,6179) = ( 919 × 6179 ) / 1
LCM(919,6179) = 5678501 / 1
LCM(919,6179) = 5678501
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FAQs on GCF of Fractions of 8089/919, 1840/6179
1. What is the HCF of 8089,1840?
The HCF of 8089,1840 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 8089/919, 1840/6179?
Answer: GCF of Numerators as per given numbers 8089/919, 1840/6179 is
GCF of Numerators i.e. for 8089,1840 is 1
LCM of denominators i.e. for 919,6179 is 5678501.
Thus, GCF of Fractions is 1/5678501.Finally, GCF of Fractions for 8089/919, 1840/6179 is 1/5678501.