GCF of 8187/209, 5979/5355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8187/209, 5979/5355 i.e 3/1119195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8187/209, 5979/5355.
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 8187/209,5979/5355?
Given fractions are 8187/209,5979/5355
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 8187/209,5979/5355, numerators are 8187,5979
Denominators are 209,5355
The GCF of 8187,5979 is 3 .
LCM of 209,5355 is 1119195.
The greatest common factor of 8187/209,5979/5355 = [GCF of 8187,5979]/[LCM of 209,5355]= 3/1119195
Therefore, the GCF of 8187/209,5979/5355 is 3/1119195.
To find the highest common factor of 8187,5979, we have to find the factors of both numbers and list the highest common factor.
The factors of 8187 are 1, 3, 2729, 8187
The factors of 5979 are 1, 3, 1993, 5979
The HCF of 8187,5979 is 3.
Lets's calculate GCF of 8187,5979
| 3 | 8187, 5979 |
| 2729, 1993 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8187,5979 By Matching Biggest Common Factor Method
Now, list down the factors of 8187
:1,3,2729,8187
Now, list down the factors of 5979
:1,3,1993,5979
Greatest Common Factor
We found the factors 8187,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,5979 is 3.
Lets's calculate LCM of 209,5355
Given numbers has no common factors except 1. So, there LCM is their product i.e 1119195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1119195
Therefore, the GCF of Fractions 8187/209,5979/5355 is 3/1119195
Least Common Multiple of 209,5355 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 209,5355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,5355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,5355) x common factors =1 x 1 = 1
LCM(209,5355) = ( 209 × 5355 ) / 1
LCM(209,5355) = 1119195 / 1
LCM(209,5355) = 1119195
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FAQs on GCF of Fractions of 8187/209, 5979/5355
1. What is the HCF of 8187,5979?
The HCF of 8187,5979 is 3
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 8187/209, 5979/5355?
Answer: GCF of Numerators as per given numbers 8187/209, 5979/5355 is
GCF of Numerators i.e. for 8187,5979 is 3
LCM of denominators i.e. for 209,5355 is 1119195.
Thus, GCF of Fractions is 3/1119195.Finally, GCF of Fractions for 8187/209, 5979/5355 is 3/1119195.