GCF of 6006/633, 2749/2767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6006/633, 2749/2767 i.e 1/1751511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6006/633, 2749/2767.
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 6006/633,2749/2767?
Given fractions are 6006/633,2749/2767
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 6006/633,2749/2767, numerators are 6006,2749
Denominators are 633,2767
The GCF of 6006,2749 is 1 .
LCM of 633,2767 is 1751511.
The greatest common factor of 6006/633,2749/2767 = [GCF of 6006,2749]/[LCM of 633,2767]= 1/1751511
Therefore, the GCF of 6006/633,2749/2767 is 1/1751511.
To find the highest common factor of 6006,2749, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2749 are 1, 2749
The HCF of 6006,2749 is 1.
Lets's calculate GCF of 6006,2749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6006,2749 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2749
:1,2749
Greatest Common Factor
We found the factors 6006,2749 . The biggest common factor number is the GCF number.
So the greatest common factor 6006,2749 is 1.
Lets's calculate LCM of 633,2767
Given numbers has no common factors except 1. So, there LCM is their product i.e 1751511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1751511
Therefore, the GCF of Fractions 6006/633,2749/2767 is 1/1751511
Least Common Multiple of 633,2767 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 633,2767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,2767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,2767) x common factors =1 x 1 = 1
LCM(633,2767) = ( 633 × 2767 ) / 1
LCM(633,2767) = 1751511 / 1
LCM(633,2767) = 1751511
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FAQs on GCF of Fractions of 6006/633, 2749/2767
1. What is the HCF of 6006,2749?
The HCF of 6006,2749 is 1
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 6006/633, 2749/2767?
Answer: GCF of Numerators as per given numbers 6006/633, 2749/2767 is
GCF of Numerators i.e. for 6006,2749 is 1
LCM of denominators i.e. for 633,2767 is 1751511.
Thus, GCF of Fractions is 1/1751511.Finally, GCF of Fractions for 6006/633, 2749/2767 is 1/1751511.