GCF of 3162/262, 3336/8987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3162/262, 3336/8987 i.e 6/2354594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3162/262, 3336/8987.
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 3162/262,3336/8987?
Given fractions are 3162/262,3336/8987
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 3162/262,3336/8987, numerators are 3162,3336
Denominators are 262,8987
The GCF of 3162,3336 is 6 .
LCM of 262,8987 is 2354594.
The greatest common factor of 3162/262,3336/8987 = [GCF of 3162,3336]/[LCM of 262,8987]= 6/2354594
Therefore, the GCF of 3162/262,3336/8987 is 6/2354594.
To find the highest common factor of 3162,3336, we have to find the factors of both numbers and list the highest common factor.
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
The HCF of 3162,3336 is 6.
Lets's calculate GCF of 3162,3336
| 2 | 3162, 3336 |
| 3 | 1581, 1668 |
| 527, 556 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3162,3336 By Matching Biggest Common Factor Method
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Now, list down the factors of 3336
:1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Greatest Common Factor
We found the factors 3162,3336 . The biggest common factor number is the GCF number.
So the greatest common factor 3162,3336 is 6.
Lets's calculate LCM of 262,8987
Given numbers has no common factors except 1. So, there LCM is their product i.e 2354594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2354594
Therefore, the GCF of Fractions 3162/262,3336/8987 is 6/2354594
Least Common Multiple of 262,8987 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 262,8987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,8987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,8987) x common factors =1 x 1 = 1
LCM(262,8987) = ( 262 × 8987 ) / 1
LCM(262,8987) = 2354594 / 1
LCM(262,8987) = 2354594
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FAQs on GCF of Fractions of 3162/262, 3336/8987
1. What is the HCF of 3162,3336?
The HCF of 3162,3336 is 6
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 3162/262, 3336/8987?
Answer: GCF of Numerators as per given numbers 3162/262, 3336/8987 is
GCF of Numerators i.e. for 3162,3336 is 6
LCM of denominators i.e. for 262,8987 is 2354594.
Thus, GCF of Fractions is 6/2354594.Finally, GCF of Fractions for 3162/262, 3336/8987 is 6/2354594.