GCF of 1662/371, 8774/1391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1662/371, 8774/1391 i.e 2/516061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1662/371, 8774/1391.
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 1662/371,8774/1391?
Given fractions are 1662/371,8774/1391
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 1662/371,8774/1391, numerators are 1662,8774
Denominators are 371,1391
The GCF of 1662,8774 is 2 .
LCM of 371,1391 is 516061.
The greatest common factor of 1662/371,8774/1391 = [GCF of 1662,8774]/[LCM of 371,1391]= 2/516061
Therefore, the GCF of 1662/371,8774/1391 is 2/516061.
To find the highest common factor of 1662,8774, we have to find the factors of both numbers and list the highest common factor.
The factors of 1662 are 1, 2, 3, 6, 277, 554, 831, 1662
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 1662,8774 is 2.
Lets's calculate GCF of 1662,8774
| 2 | 1662, 8774 |
| 831, 4387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1662,8774 By Matching Biggest Common Factor Method
Now, list down the factors of 1662
:1,2,3,6,277,554,831,1662
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 1662,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 1662,8774 is 2.
Lets's calculate LCM of 371,1391
Given numbers has no common factors except 1. So, there LCM is their product i.e 516061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/516061
Therefore, the GCF of Fractions 1662/371,8774/1391 is 2/516061
Least Common Multiple of 371,1391 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 371,1391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,1391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,1391) x common factors =1 x 1 = 1
LCM(371,1391) = ( 371 × 1391 ) / 1
LCM(371,1391) = 516061 / 1
LCM(371,1391) = 516061
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FAQs on GCF of Fractions of 1662/371, 8774/1391
1. What is the HCF of 1662,8774?
The HCF of 1662,8774 is 2
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 1662/371, 8774/1391?
Answer: GCF of Numerators as per given numbers 1662/371, 8774/1391 is
GCF of Numerators i.e. for 1662,8774 is 2
LCM of denominators i.e. for 371,1391 is 516061.
Thus, GCF of Fractions is 2/516061.Finally, GCF of Fractions for 1662/371, 8774/1391 is 2/516061.