GCF of 1809/607, 1938/7175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1809/607, 1938/7175 i.e 3/4355225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1809/607, 1938/7175.
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 1809/607,1938/7175?
Given fractions are 1809/607,1938/7175
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 1809/607,1938/7175, numerators are 1809,1938
Denominators are 607,7175
The GCF of 1809,1938 is 3 .
LCM of 607,7175 is 4355225.
The greatest common factor of 1809/607,1938/7175 = [GCF of 1809,1938]/[LCM of 607,7175]= 3/4355225
Therefore, the GCF of 1809/607,1938/7175 is 3/4355225.
To find the highest common factor of 1809,1938, we have to find the factors of both numbers and list the highest common factor.
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938
The HCF of 1809,1938 is 3.
Lets's calculate GCF of 1809,1938
| 3 | 1809, 1938 |
| 603, 646 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1809,1938 By Matching Biggest Common Factor Method
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Now, list down the factors of 1938
:1,2,3,6,17,19,34,38,51,57,102,114,323,646,969,1938
Greatest Common Factor
We found the factors 1809,1938 . The biggest common factor number is the GCF number.
So the greatest common factor 1809,1938 is 3.
Lets's calculate LCM of 607,7175
Given numbers has no common factors except 1. So, there LCM is their product i.e 4355225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4355225
Therefore, the GCF of Fractions 1809/607,1938/7175 is 3/4355225
Least Common Multiple of 607,7175 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 607,7175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,7175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,7175) x common factors =1 x 1 = 1
LCM(607,7175) = ( 607 × 7175 ) / 1
LCM(607,7175) = 4355225 / 1
LCM(607,7175) = 4355225
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FAQs on GCF of Fractions of 1809/607, 1938/7175
1. What is the HCF of 1809,1938?
The HCF of 1809,1938 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 1809/607, 1938/7175?
Answer: GCF of Numerators as per given numbers 1809/607, 1938/7175 is
GCF of Numerators i.e. for 1809,1938 is 3
LCM of denominators i.e. for 607,7175 is 4355225.
Thus, GCF of Fractions is 3/4355225.Finally, GCF of Fractions for 1809/607, 1938/7175 is 3/4355225.