GCF of 7463/190, 1839/182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7463/190, 1839/182 i.e 1/17290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7463/190, 1839/182.
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 7463/190,1839/182?
Given fractions are 7463/190,1839/182
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 7463/190,1839/182, numerators are 7463,1839
Denominators are 190,182
The GCF of 7463,1839 is 1 .
LCM of 190,182 is 17290.
The greatest common factor of 7463/190,1839/182 = [GCF of 7463,1839]/[LCM of 190,182]= 1/17290
Therefore, the GCF of 7463/190,1839/182 is 1/17290.
To find the highest common factor of 7463,1839, we have to find the factors of both numbers and list the highest common factor.
The factors of 7463 are 1, 17, 439, 7463
The factors of 1839 are 1, 3, 613, 1839
The HCF of 7463,1839 is 1.
Lets's calculate GCF of 7463,1839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7463,1839 By Matching Biggest Common Factor Method
Now, list down the factors of 7463
:1,17,439,7463
Now, list down the factors of 1839
:1,3,613,1839
Greatest Common Factor
We found the factors 7463,1839 . The biggest common factor number is the GCF number.
So the greatest common factor 7463,1839 is 1.
Lets's calculate LCM of 190,182
| 2 | 190, 182 |
| 95, 91 |
∴ So the LCM of the given numbers is 2 x 95 x 91 = 17290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17290
Therefore, the GCF of Fractions 7463/190,1839/182 is 1/17290
Least Common Multiple of 190,182 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 190,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,182) x common factors =2 x 1 = 2
LCM(190,182) = ( 190 × 182 ) / 2
LCM(190,182) = 34580 / 2
LCM(190,182) = 17290
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FAQs on GCF of Fractions of 7463/190, 1839/182
1. What is the HCF of 7463,1839?
The HCF of 7463,1839 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 7463/190, 1839/182?
Answer: GCF of Numerators as per given numbers 7463/190, 1839/182 is
GCF of Numerators i.e. for 7463,1839 is 1
LCM of denominators i.e. for 190,182 is 17290.
Thus, GCF of Fractions is 1/17290.Finally, GCF of Fractions for 7463/190, 1839/182 is 1/17290.