GCF of 6996/162, 3666/6068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6996/162, 3666/6068 i.e 6/491508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6996/162, 3666/6068.
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 6996/162,3666/6068?
Given fractions are 6996/162,3666/6068
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 6996/162,3666/6068, numerators are 6996,3666
Denominators are 162,6068
The GCF of 6996,3666 is 6 .
LCM of 162,6068 is 491508.
The greatest common factor of 6996/162,3666/6068 = [GCF of 6996,3666]/[LCM of 162,6068]= 6/491508
Therefore, the GCF of 6996/162,3666/6068 is 6/491508.
To find the highest common factor of 6996,3666, we have to find the factors of both numbers and list the highest common factor.
The factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The HCF of 6996,3666 is 6.
Lets's calculate GCF of 6996,3666
| 2 | 6996, 3666 |
| 3 | 3498, 1833 |
| 1166, 611 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6996,3666 By Matching Biggest Common Factor Method
Now, list down the factors of 6996
:1,2,3,4,6,11,12,22,33,44,53,66,106,132,159,212,318,583,636,1166,1749,2332,3498,6996
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Greatest Common Factor
We found the factors 6996,3666 . The biggest common factor number is the GCF number.
So the greatest common factor 6996,3666 is 6.
Lets's calculate LCM of 162,6068
| 2 | 162, 6068 |
| 81, 3034 |
∴ So the LCM of the given numbers is 2 x 81 x 3034 = 491508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/491508
Therefore, the GCF of Fractions 6996/162,3666/6068 is 6/491508
Least Common Multiple of 162,6068 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 162,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,6068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,6068) x common factors =2 x 1 = 2
LCM(162,6068) = ( 162 × 6068 ) / 2
LCM(162,6068) = 983016 / 2
LCM(162,6068) = 491508
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FAQs on GCF of Fractions of 6996/162, 3666/6068
1. What is the HCF of 6996,3666?
The HCF of 6996,3666 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 6996/162, 3666/6068?
Answer: GCF of Numerators as per given numbers 6996/162, 3666/6068 is
GCF of Numerators i.e. for 6996,3666 is 6
LCM of denominators i.e. for 162,6068 is 491508.
Thus, GCF of Fractions is 6/491508.Finally, GCF of Fractions for 6996/162, 3666/6068 is 6/491508.