GCF of 5473/989, 8009/6606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5473/989, 8009/6606 i.e 1/6533334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5473/989, 8009/6606.
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 5473/989,8009/6606?
Given fractions are 5473/989,8009/6606
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 5473/989,8009/6606, numerators are 5473,8009
Denominators are 989,6606
The GCF of 5473,8009 is 1 .
LCM of 989,6606 is 6533334.
The greatest common factor of 5473/989,8009/6606 = [GCF of 5473,8009]/[LCM of 989,6606]= 1/6533334
Therefore, the GCF of 5473/989,8009/6606 is 1/6533334.
To find the highest common factor of 5473,8009, we have to find the factors of both numbers and list the highest common factor.
The factors of 5473 are 1, 13, 421, 5473
The factors of 8009 are 1, 8009
The HCF of 5473,8009 is 1.
Lets's calculate GCF of 5473,8009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5473,8009 By Matching Biggest Common Factor Method
Now, list down the factors of 5473
:1,13,421,5473
Now, list down the factors of 8009
:1,8009
Greatest Common Factor
We found the factors 5473,8009 . The biggest common factor number is the GCF number.
So the greatest common factor 5473,8009 is 1.
Lets's calculate LCM of 989,6606
Given numbers has no common factors except 1. So, there LCM is their product i.e 6533334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6533334
Therefore, the GCF of Fractions 5473/989,8009/6606 is 1/6533334
Least Common Multiple of 989,6606 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 989,6606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,6606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,6606) x common factors =1 x 1 = 1
LCM(989,6606) = ( 989 × 6606 ) / 1
LCM(989,6606) = 6533334 / 1
LCM(989,6606) = 6533334
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FAQs on GCF of Fractions of 5473/989, 8009/6606
1. What is the HCF of 5473,8009?
The HCF of 5473,8009 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 5473/989, 8009/6606?
Answer: GCF of Numerators as per given numbers 5473/989, 8009/6606 is
GCF of Numerators i.e. for 5473,8009 is 1
LCM of denominators i.e. for 989,6606 is 6533334.
Thus, GCF of Fractions is 1/6533334.Finally, GCF of Fractions for 5473/989, 8009/6606 is 1/6533334.