GCF of 9883/998, 4195/669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9883/998, 4195/669 i.e 1/667662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9883/998, 4195/669.
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 9883/998,4195/669?
Given fractions are 9883/998,4195/669
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 9883/998,4195/669, numerators are 9883,4195
Denominators are 998,669
The GCF of 9883,4195 is 1 .
LCM of 998,669 is 667662.
The greatest common factor of 9883/998,4195/669 = [GCF of 9883,4195]/[LCM of 998,669]= 1/667662
Therefore, the GCF of 9883/998,4195/669 is 1/667662.
To find the highest common factor of 9883,4195, we have to find the factors of both numbers and list the highest common factor.
The factors of 9883 are 1, 9883
The factors of 4195 are 1, 5, 839, 4195
The HCF of 9883,4195 is 1.
Lets's calculate GCF of 9883,4195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9883,4195 By Matching Biggest Common Factor Method
Now, list down the factors of 9883
:1,9883
Now, list down the factors of 4195
:1,5,839,4195
Greatest Common Factor
We found the factors 9883,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 9883,4195 is 1.
Lets's calculate LCM of 998,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 667662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/667662
Therefore, the GCF of Fractions 9883/998,4195/669 is 1/667662
Least Common Multiple of 998,669 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 998,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,669) x common factors =1 x 1 = 1
LCM(998,669) = ( 998 × 669 ) / 1
LCM(998,669) = 667662 / 1
LCM(998,669) = 667662
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FAQs on GCF of Fractions of 9883/998, 4195/669
1. What is the HCF of 9883,4195?
The HCF of 9883,4195 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 9883/998, 4195/669?
Answer: GCF of Numerators as per given numbers 9883/998, 4195/669 is
GCF of Numerators i.e. for 9883,4195 is 1
LCM of denominators i.e. for 998,669 is 667662.
Thus, GCF of Fractions is 1/667662.Finally, GCF of Fractions for 9883/998, 4195/669 is 1/667662.