GCF of 6917/423, 1890/4143
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6917/423, 1890/4143 i.e 1/584163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6917/423, 1890/4143.
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 6917/423,1890/4143?
Given fractions are 6917/423,1890/4143
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 6917/423,1890/4143, numerators are 6917,1890
Denominators are 423,4143
The GCF of 6917,1890 is 1 .
LCM of 423,4143 is 584163.
The greatest common factor of 6917/423,1890/4143 = [GCF of 6917,1890]/[LCM of 423,4143]= 1/584163
Therefore, the GCF of 6917/423,1890/4143 is 1/584163.
To find the highest common factor of 6917,1890, we have to find the factors of both numbers and list the highest common factor.
The factors of 6917 are 1, 6917
The factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890
The HCF of 6917,1890 is 1.
Lets's calculate GCF of 6917,1890
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6917,1890 By Matching Biggest Common Factor Method
Now, list down the factors of 6917
:1,6917
Now, list down the factors of 1890
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,90,105,126,135,189,210,270,315,378,630,945,1890
Greatest Common Factor
We found the factors 6917,1890 . The biggest common factor number is the GCF number.
So the greatest common factor 6917,1890 is 1.
Lets's calculate LCM of 423,4143
| 3 | 423, 4143 |
| 141, 1381 |
∴ So the LCM of the given numbers is 3 x 141 x 1381 = 584163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/584163
Therefore, the GCF of Fractions 6917/423,1890/4143 is 1/584163
Least Common Multiple of 423,4143 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 423,4143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,4143) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,4143) x common factors =3 x 1 = 3
LCM(423,4143) = ( 423 × 4143 ) / 3
LCM(423,4143) = 1752489 / 3
LCM(423,4143) = 584163
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FAQs on GCF of Fractions of 6917/423, 1890/4143
1. What is the HCF of 6917,1890?
The HCF of 6917,1890 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 6917/423, 1890/4143?
Answer: GCF of Numerators as per given numbers 6917/423, 1890/4143 is
GCF of Numerators i.e. for 6917,1890 is 1
LCM of denominators i.e. for 423,4143 is 584163.
Thus, GCF of Fractions is 1/584163.Finally, GCF of Fractions for 6917/423, 1890/4143 is 1/584163.