GCF of 1868/300, 6672/6737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1868/300, 6672/6737 i.e 4/2021100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1868/300, 6672/6737.
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 1868/300,6672/6737?
Given fractions are 1868/300,6672/6737
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 1868/300,6672/6737, numerators are 1868,6672
Denominators are 300,6737
The GCF of 1868,6672 is 4 .
LCM of 300,6737 is 2021100.
The greatest common factor of 1868/300,6672/6737 = [GCF of 1868,6672]/[LCM of 300,6737]= 4/2021100
Therefore, the GCF of 1868/300,6672/6737 is 4/2021100.
To find the highest common factor of 1868,6672, we have to find the factors of both numbers and list the highest common factor.
The factors of 1868 are 1, 2, 4, 467, 934, 1868
The factors of 6672 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672
The HCF of 1868,6672 is 4.
Lets's calculate GCF of 1868,6672
| 2 | 1868, 6672 |
| 2 | 934, 3336 |
| 467, 1668 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1868,6672 By Matching Biggest Common Factor Method
Now, list down the factors of 1868
:1,2,4,467,934,1868
Now, list down the factors of 6672
:1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672
Greatest Common Factor
We found the factors 1868,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 1868,6672 is 4.
Lets's calculate LCM of 300,6737
Given numbers has no common factors except 1. So, there LCM is their product i.e 2021100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2021100
Therefore, the GCF of Fractions 1868/300,6672/6737 is 4/2021100
Least Common Multiple of 300,6737 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 300,6737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,6737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(300,6737) x common factors =1 x 1 = 1
LCM(300,6737) = ( 300 × 6737 ) / 1
LCM(300,6737) = 2021100 / 1
LCM(300,6737) = 2021100
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FAQs on GCF of Fractions of 1868/300, 6672/6737
1. What is the HCF of 1868,6672?
The HCF of 1868,6672 is 4
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 1868/300, 6672/6737?
Answer: GCF of Numerators as per given numbers 1868/300, 6672/6737 is
GCF of Numerators i.e. for 1868,6672 is 4
LCM of denominators i.e. for 300,6737 is 2021100.
Thus, GCF of Fractions is 4/2021100.Finally, GCF of Fractions for 1868/300, 6672/6737 is 4/2021100.