GCF of 8450/500, 7249/5997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8450/500, 7249/5997 i.e 1/2998500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8450/500, 7249/5997.
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 8450/500,7249/5997?
Given fractions are 8450/500,7249/5997
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 8450/500,7249/5997, numerators are 8450,7249
Denominators are 500,5997
The GCF of 8450,7249 is 1 .
LCM of 500,5997 is 2998500.
The greatest common factor of 8450/500,7249/5997 = [GCF of 8450,7249]/[LCM of 500,5997]= 1/2998500
Therefore, the GCF of 8450/500,7249/5997 is 1/2998500.
To find the highest common factor of 8450,7249, we have to find the factors of both numbers and list the highest common factor.
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The factors of 7249 are 1, 11, 659, 7249
The HCF of 8450,7249 is 1.
Lets's calculate GCF of 8450,7249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8450,7249 By Matching Biggest Common Factor Method
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Now, list down the factors of 7249
:1,11,659,7249
Greatest Common Factor
We found the factors 8450,7249 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,7249 is 1.
Lets's calculate LCM of 500,5997
Given numbers has no common factors except 1. So, there LCM is their product i.e 2998500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2998500
Therefore, the GCF of Fractions 8450/500,7249/5997 is 1/2998500
Least Common Multiple of 500,5997 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 500,5997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,5997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,5997) x common factors =1 x 1 = 1
LCM(500,5997) = ( 500 × 5997 ) / 1
LCM(500,5997) = 2998500 / 1
LCM(500,5997) = 2998500
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FAQs on GCF of Fractions of 8450/500, 7249/5997
1. What is the HCF of 8450,7249?
The HCF of 8450,7249 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 8450/500, 7249/5997?
Answer: GCF of Numerators as per given numbers 8450/500, 7249/5997 is
GCF of Numerators i.e. for 8450,7249 is 1
LCM of denominators i.e. for 500,5997 is 2998500.
Thus, GCF of Fractions is 1/2998500.Finally, GCF of Fractions for 8450/500, 7249/5997 is 1/2998500.