GCF of 9969/608, 5482/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9969/608, 5482/851 i.e 1/517408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9969/608, 5482/851.
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 9969/608,5482/851?
Given fractions are 9969/608,5482/851
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 9969/608,5482/851, numerators are 9969,5482
Denominators are 608,851
The GCF of 9969,5482 is 1 .
LCM of 608,851 is 517408.
The greatest common factor of 9969/608,5482/851 = [GCF of 9969,5482]/[LCM of 608,851]= 1/517408
Therefore, the GCF of 9969/608,5482/851 is 1/517408.
To find the highest common factor of 9969,5482, we have to find the factors of both numbers and list the highest common factor.
The factors of 9969 are 1, 3, 3323, 9969
The factors of 5482 are 1, 2, 2741, 5482
The HCF of 9969,5482 is 1.
Lets's calculate GCF of 9969,5482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9969,5482 By Matching Biggest Common Factor Method
Now, list down the factors of 9969
:1,3,3323,9969
Now, list down the factors of 5482
:1,2,2741,5482
Greatest Common Factor
We found the factors 9969,5482 . The biggest common factor number is the GCF number.
So the greatest common factor 9969,5482 is 1.
Lets's calculate LCM of 608,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 517408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517408
Therefore, the GCF of Fractions 9969/608,5482/851 is 1/517408
Least Common Multiple of 608,851 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 608,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,851) x common factors =1 x 1 = 1
LCM(608,851) = ( 608 × 851 ) / 1
LCM(608,851) = 517408 / 1
LCM(608,851) = 517408
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FAQs on GCF of Fractions of 9969/608, 5482/851
1. What is the HCF of 9969,5482?
The HCF of 9969,5482 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 9969/608, 5482/851?
Answer: GCF of Numerators as per given numbers 9969/608, 5482/851 is
GCF of Numerators i.e. for 9969,5482 is 1
LCM of denominators i.e. for 608,851 is 517408.
Thus, GCF of Fractions is 1/517408.Finally, GCF of Fractions for 9969/608, 5482/851 is 1/517408.