GCF of 6742/537, 6699/4122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6742/537, 6699/4122 i.e 1/737838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6742/537, 6699/4122.
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 6742/537,6699/4122?
Given fractions are 6742/537,6699/4122
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 6742/537,6699/4122, numerators are 6742,6699
Denominators are 537,4122
The GCF of 6742,6699 is 1 .
LCM of 537,4122 is 737838.
The greatest common factor of 6742/537,6699/4122 = [GCF of 6742,6699]/[LCM of 537,4122]= 1/737838
Therefore, the GCF of 6742/537,6699/4122 is 1/737838.
To find the highest common factor of 6742,6699, we have to find the factors of both numbers and list the highest common factor.
The factors of 6742 are 1, 2, 3371, 6742
The factors of 6699 are 1, 3, 7, 11, 21, 29, 33, 77, 87, 203, 231, 319, 609, 957, 2233, 6699
The HCF of 6742,6699 is 1.
Lets's calculate GCF of 6742,6699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6742,6699 By Matching Biggest Common Factor Method
Now, list down the factors of 6742
:1,2,3371,6742
Now, list down the factors of 6699
:1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699
Greatest Common Factor
We found the factors 6742,6699 . The biggest common factor number is the GCF number.
So the greatest common factor 6742,6699 is 1.
Lets's calculate LCM of 537,4122
| 3 | 537, 4122 |
| 179, 1374 |
∴ So the LCM of the given numbers is 3 x 179 x 1374 = 737838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737838
Therefore, the GCF of Fractions 6742/537,6699/4122 is 1/737838
Least Common Multiple of 537,4122 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 537,4122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,4122) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,4122) x common factors =3 x 1 = 3
LCM(537,4122) = ( 537 × 4122 ) / 3
LCM(537,4122) = 2213514 / 3
LCM(537,4122) = 737838
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FAQs on GCF of Fractions of 6742/537, 6699/4122
1. What is the HCF of 6742,6699?
The HCF of 6742,6699 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 6742/537, 6699/4122?
Answer: GCF of Numerators as per given numbers 6742/537, 6699/4122 is
GCF of Numerators i.e. for 6742,6699 is 1
LCM of denominators i.e. for 537,4122 is 737838.
Thus, GCF of Fractions is 1/737838.Finally, GCF of Fractions for 6742/537, 6699/4122 is 1/737838.