GCF of 8969/200, 7123/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8969/200, 7123/309 i.e 1/61800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8969/200, 7123/309.
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 8969/200,7123/309?
Given fractions are 8969/200,7123/309
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 8969/200,7123/309, numerators are 8969,7123
Denominators are 200,309
The GCF of 8969,7123 is 1 .
LCM of 200,309 is 61800.
The greatest common factor of 8969/200,7123/309 = [GCF of 8969,7123]/[LCM of 200,309]= 1/61800
Therefore, the GCF of 8969/200,7123/309 is 1/61800.
To find the highest common factor of 8969,7123, we have to find the factors of both numbers and list the highest common factor.
The factors of 8969 are 1, 8969
The factors of 7123 are 1, 17, 419, 7123
The HCF of 8969,7123 is 1.
Lets's calculate GCF of 8969,7123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8969,7123 By Matching Biggest Common Factor Method
Now, list down the factors of 8969
:1,8969
Now, list down the factors of 7123
:1,17,419,7123
Greatest Common Factor
We found the factors 8969,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 8969,7123 is 1.
Lets's calculate LCM of 200,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 61800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61800
Therefore, the GCF of Fractions 8969/200,7123/309 is 1/61800
Least Common Multiple of 200,309 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 200,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,309) x common factors =1 x 1 = 1
LCM(200,309) = ( 200 × 309 ) / 1
LCM(200,309) = 61800 / 1
LCM(200,309) = 61800
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FAQs on GCF of Fractions of 8969/200, 7123/309
1. What is the HCF of 8969,7123?
The HCF of 8969,7123 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 8969/200, 7123/309?
Answer: GCF of Numerators as per given numbers 8969/200, 7123/309 is
GCF of Numerators i.e. for 8969,7123 is 1
LCM of denominators i.e. for 200,309 is 61800.
Thus, GCF of Fractions is 1/61800.Finally, GCF of Fractions for 8969/200, 7123/309 is 1/61800.