GCF of 8604/100, 2089/303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8604/100, 2089/303 i.e 1/30300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8604/100, 2089/303.
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 8604/100,2089/303?
Given fractions are 8604/100,2089/303
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 8604/100,2089/303, numerators are 8604,2089
Denominators are 100,303
The GCF of 8604,2089 is 1 .
LCM of 100,303 is 30300.
The greatest common factor of 8604/100,2089/303 = [GCF of 8604,2089]/[LCM of 100,303]= 1/30300
Therefore, the GCF of 8604/100,2089/303 is 1/30300.
To find the highest common factor of 8604,2089, we have to find the factors of both numbers and list the highest common factor.
The factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604
The factors of 2089 are 1, 2089
The HCF of 8604,2089 is 1.
Lets's calculate GCF of 8604,2089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8604,2089 By Matching Biggest Common Factor Method
Now, list down the factors of 8604
:1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604
Now, list down the factors of 2089
:1,2089
Greatest Common Factor
We found the factors 8604,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 8604,2089 is 1.
Lets's calculate LCM of 100,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 30300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30300
Therefore, the GCF of Fractions 8604/100,2089/303 is 1/30300
Least Common Multiple of 100,303 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 100,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(100,303) x common factors =1 x 1 = 1
LCM(100,303) = ( 100 × 303 ) / 1
LCM(100,303) = 30300 / 1
LCM(100,303) = 30300
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FAQs on GCF of Fractions of 8604/100, 2089/303
1. What is the HCF of 8604,2089?
The HCF of 8604,2089 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 8604/100, 2089/303?
Answer: GCF of Numerators as per given numbers 8604/100, 2089/303 is
GCF of Numerators i.e. for 8604,2089 is 1
LCM of denominators i.e. for 100,303 is 30300.
Thus, GCF of Fractions is 1/30300.Finally, GCF of Fractions for 8604/100, 2089/303 is 1/30300.