GCF of 7003/27, 1911/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7003/27, 1911/873 i.e 1/2619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7003/27, 1911/873.
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 7003/27,1911/873?
Given fractions are 7003/27,1911/873
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 7003/27,1911/873, numerators are 7003,1911
Denominators are 27,873
The GCF of 7003,1911 is 1 .
LCM of 27,873 is 2619.
The greatest common factor of 7003/27,1911/873 = [GCF of 7003,1911]/[LCM of 27,873]= 1/2619
Therefore, the GCF of 7003/27,1911/873 is 1/2619.
To find the highest common factor of 7003,1911, we have to find the factors of both numbers and list the highest common factor.
The factors of 7003 are 1, 47, 149, 7003
The factors of 1911 are 1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637, 1911
The HCF of 7003,1911 is 1.
Lets's calculate GCF of 7003,1911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7003,1911 By Matching Biggest Common Factor Method
Now, list down the factors of 7003
:1,47,149,7003
Now, list down the factors of 1911
:1,3,7,13,21,39,49,91,147,273,637,1911
Greatest Common Factor
We found the factors 7003,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 7003,1911 is 1.
Lets's calculate LCM of 27,873
| 3 | 27, 873 |
| 3 | 9, 291 |
| 3, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 97 = 2619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2619
Therefore, the GCF of Fractions 7003/27,1911/873 is 1/2619
Least Common Multiple of 27,873 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 27,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,873) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(27,873) x common factors =9 x 1 = 9
LCM(27,873) = ( 27 × 873 ) / 9
LCM(27,873) = 23571 / 9
LCM(27,873) = 2619
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FAQs on GCF of Fractions of 7003/27, 1911/873
1. What is the HCF of 7003,1911?
The HCF of 7003,1911 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 7003/27, 1911/873?
Answer: GCF of Numerators as per given numbers 7003/27, 1911/873 is
GCF of Numerators i.e. for 7003,1911 is 1
LCM of denominators i.e. for 27,873 is 2619.
Thus, GCF of Fractions is 1/2619.Finally, GCF of Fractions for 7003/27, 1911/873 is 1/2619.