GCF of 2006/498, 6767/661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2006/498, 6767/661 i.e 1/329178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2006/498, 6767/661.
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 2006/498,6767/661?
Given fractions are 2006/498,6767/661
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 2006/498,6767/661, numerators are 2006,6767
Denominators are 498,661
The GCF of 2006,6767 is 1 .
LCM of 498,661 is 329178.
The greatest common factor of 2006/498,6767/661 = [GCF of 2006,6767]/[LCM of 498,661]= 1/329178
Therefore, the GCF of 2006/498,6767/661 is 1/329178.
To find the highest common factor of 2006,6767, we have to find the factors of both numbers and list the highest common factor.
The factors of 2006 are 1, 2, 17, 34, 59, 118, 1003, 2006
The factors of 6767 are 1, 67, 101, 6767
The HCF of 2006,6767 is 1.
Lets's calculate GCF of 2006,6767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2006,6767 By Matching Biggest Common Factor Method
Now, list down the factors of 2006
:1,2,17,34,59,118,1003,2006
Now, list down the factors of 6767
:1,67,101,6767
Greatest Common Factor
We found the factors 2006,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 2006,6767 is 1.
Lets's calculate LCM of 498,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 329178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329178
Therefore, the GCF of Fractions 2006/498,6767/661 is 1/329178
Least Common Multiple of 498,661 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 498,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,661) x common factors =1 x 1 = 1
LCM(498,661) = ( 498 × 661 ) / 1
LCM(498,661) = 329178 / 1
LCM(498,661) = 329178
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FAQs on GCF of Fractions of 2006/498, 6767/661
1. What is the HCF of 2006,6767?
The HCF of 2006,6767 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 2006/498, 6767/661?
Answer: GCF of Numerators as per given numbers 2006/498, 6767/661 is
GCF of Numerators i.e. for 2006,6767 is 1
LCM of denominators i.e. for 498,661 is 329178.
Thus, GCF of Fractions is 1/329178.Finally, GCF of Fractions for 2006/498, 6767/661 is 1/329178.