GCF of 1944/362, 6006/5671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1944/362, 6006/5671 i.e 6/2052902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1944/362, 6006/5671.
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 1944/362,6006/5671?
Given fractions are 1944/362,6006/5671
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 1944/362,6006/5671, numerators are 1944,6006
Denominators are 362,5671
The GCF of 1944,6006 is 6 .
LCM of 362,5671 is 2052902.
The greatest common factor of 1944/362,6006/5671 = [GCF of 1944,6006]/[LCM of 362,5671]= 6/2052902
Therefore, the GCF of 1944/362,6006/5671 is 6/2052902.
To find the highest common factor of 1944,6006, we have to find the factors of both numbers and list the highest common factor.
The factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944
The factors of 6006 are 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 66, 77, 78, 91, 143, 154, 182, 231, 273, 286, 429, 462, 546, 858, 1001, 2002, 3003, 6006
The HCF of 1944,6006 is 6.
Lets's calculate GCF of 1944,6006
| 2 | 1944, 6006 |
| 3 | 972, 3003 |
| 324, 1001 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1944,6006 By Matching Biggest Common Factor Method
Now, list down the factors of 1944
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944
Now, list down the factors of 6006
:1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006
Greatest Common Factor
We found the factors 1944,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 1944,6006 is 6.
Lets's calculate LCM of 362,5671
Given numbers has no common factors except 1. So, there LCM is their product i.e 2052902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2052902
Therefore, the GCF of Fractions 1944/362,6006/5671 is 6/2052902
Least Common Multiple of 362,5671 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 362,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,5671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,5671) x common factors =1 x 1 = 1
LCM(362,5671) = ( 362 × 5671 ) / 1
LCM(362,5671) = 2052902 / 1
LCM(362,5671) = 2052902
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FAQs on GCF of Fractions of 1944/362, 6006/5671
1. What is the HCF of 1944,6006?
The HCF of 1944,6006 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 1944/362, 6006/5671?
Answer: GCF of Numerators as per given numbers 1944/362, 6006/5671 is
GCF of Numerators i.e. for 1944,6006 is 6
LCM of denominators i.e. for 362,5671 is 2052902.
Thus, GCF of Fractions is 6/2052902.Finally, GCF of Fractions for 1944/362, 6006/5671 is 6/2052902.