GCF of 6921/982, 8209/5419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6921/982, 8209/5419 i.e 1/5321458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6921/982, 8209/5419.
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 6921/982,8209/5419?
Given fractions are 6921/982,8209/5419
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 6921/982,8209/5419, numerators are 6921,8209
Denominators are 982,5419
The GCF of 6921,8209 is 1 .
LCM of 982,5419 is 5321458.
The greatest common factor of 6921/982,8209/5419 = [GCF of 6921,8209]/[LCM of 982,5419]= 1/5321458
Therefore, the GCF of 6921/982,8209/5419 is 1/5321458.
To find the highest common factor of 6921,8209, we have to find the factors of both numbers and list the highest common factor.
The factors of 6921 are 1, 3, 9, 769, 2307, 6921
The factors of 8209 are 1, 8209
The HCF of 6921,8209 is 1.
Lets's calculate GCF of 6921,8209
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6921,8209 By Matching Biggest Common Factor Method
Now, list down the factors of 6921
:1,3,9,769,2307,6921
Now, list down the factors of 8209
:1,8209
Greatest Common Factor
We found the factors 6921,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 6921,8209 is 1.
Lets's calculate LCM of 982,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 5321458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5321458
Therefore, the GCF of Fractions 6921/982,8209/5419 is 1/5321458
Least Common Multiple of 982,5419 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 982,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,5419) x common factors =1 x 1 = 1
LCM(982,5419) = ( 982 × 5419 ) / 1
LCM(982,5419) = 5321458 / 1
LCM(982,5419) = 5321458
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FAQs on GCF of Fractions of 6921/982, 8209/5419
1. What is the HCF of 6921,8209?
The HCF of 6921,8209 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 6921/982, 8209/5419?
Answer: GCF of Numerators as per given numbers 6921/982, 8209/5419 is
GCF of Numerators i.e. for 6921,8209 is 1
LCM of denominators i.e. for 982,5419 is 5321458.
Thus, GCF of Fractions is 1/5321458.Finally, GCF of Fractions for 6921/982, 8209/5419 is 1/5321458.