GCF of 3182/230, 1181/3454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3182/230, 1181/3454 i.e 1/397210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3182/230, 1181/3454.
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 3182/230,1181/3454?
Given fractions are 3182/230,1181/3454
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 3182/230,1181/3454, numerators are 3182,1181
Denominators are 230,3454
The GCF of 3182,1181 is 1 .
LCM of 230,3454 is 397210.
The greatest common factor of 3182/230,1181/3454 = [GCF of 3182,1181]/[LCM of 230,3454]= 1/397210
Therefore, the GCF of 3182/230,1181/3454 is 1/397210.
To find the highest common factor of 3182,1181, we have to find the factors of both numbers and list the highest common factor.
The factors of 3182 are 1, 2, 37, 43, 74, 86, 1591, 3182
The factors of 1181 are 1, 1181
The HCF of 3182,1181 is 1.
Lets's calculate GCF of 3182,1181
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3182,1181 By Matching Biggest Common Factor Method
Now, list down the factors of 3182
:1,2,37,43,74,86,1591,3182
Now, list down the factors of 1181
:1,1181
Greatest Common Factor
We found the factors 3182,1181 . The biggest common factor number is the GCF number.
So the greatest common factor 3182,1181 is 1.
Lets's calculate LCM of 230,3454
| 2 | 230, 3454 |
| 115, 1727 |
∴ So the LCM of the given numbers is 2 x 115 x 1727 = 397210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397210
Therefore, the GCF of Fractions 3182/230,1181/3454 is 1/397210
Least Common Multiple of 230,3454 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 230,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,3454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,3454) x common factors =2 x 1 = 2
LCM(230,3454) = ( 230 × 3454 ) / 2
LCM(230,3454) = 794420 / 2
LCM(230,3454) = 397210
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FAQs on GCF of Fractions of 3182/230, 1181/3454
1. What is the HCF of 3182,1181?
The HCF of 3182,1181 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 3182/230, 1181/3454?
Answer: GCF of Numerators as per given numbers 3182/230, 1181/3454 is
GCF of Numerators i.e. for 3182,1181 is 1
LCM of denominators i.e. for 230,3454 is 397210.
Thus, GCF of Fractions is 1/397210.Finally, GCF of Fractions for 3182/230, 1181/3454 is 1/397210.