GCF of 5976/271, 2667/6673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5976/271, 2667/6673 i.e 3/1808383 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5976/271, 2667/6673.
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 5976/271,2667/6673?
Given fractions are 5976/271,2667/6673
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 5976/271,2667/6673, numerators are 5976,2667
Denominators are 271,6673
The GCF of 5976,2667 is 3 .
LCM of 271,6673 is 1808383.
The greatest common factor of 5976/271,2667/6673 = [GCF of 5976,2667]/[LCM of 271,6673]= 3/1808383
Therefore, the GCF of 5976/271,2667/6673 is 3/1808383.
To find the highest common factor of 5976,2667, we have to find the factors of both numbers and list the highest common factor.
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The HCF of 5976,2667 is 3.
Lets's calculate GCF of 5976,2667
| 3 | 5976, 2667 |
| 1992, 889 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5976,2667 By Matching Biggest Common Factor Method
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 5976,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 5976,2667 is 3.
Lets's calculate LCM of 271,6673
Given numbers has no common factors except 1. So, there LCM is their product i.e 1808383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1808383
Therefore, the GCF of Fractions 5976/271,2667/6673 is 3/1808383
Least Common Multiple of 271,6673 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 271,6673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,6673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,6673) x common factors =1 x 1 = 1
LCM(271,6673) = ( 271 × 6673 ) / 1
LCM(271,6673) = 1808383 / 1
LCM(271,6673) = 1808383
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FAQs on GCF of Fractions of 5976/271, 2667/6673
1. What is the HCF of 5976,2667?
The HCF of 5976,2667 is 3
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 5976/271, 2667/6673?
Answer: GCF of Numerators as per given numbers 5976/271, 2667/6673 is
GCF of Numerators i.e. for 5976,2667 is 3
LCM of denominators i.e. for 271,6673 is 1808383.
Thus, GCF of Fractions is 3/1808383.Finally, GCF of Fractions for 5976/271, 2667/6673 is 3/1808383.