GCF of 1805/331, 8473/4337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1805/331, 8473/4337 i.e 1/1435547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1805/331, 8473/4337.
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 1805/331,8473/4337?
Given fractions are 1805/331,8473/4337
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 1805/331,8473/4337, numerators are 1805,8473
Denominators are 331,4337
The GCF of 1805,8473 is 1 .
LCM of 331,4337 is 1435547.
The greatest common factor of 1805/331,8473/4337 = [GCF of 1805,8473]/[LCM of 331,4337]= 1/1435547
Therefore, the GCF of 1805/331,8473/4337 is 1/1435547.
To find the highest common factor of 1805,8473, we have to find the factors of both numbers and list the highest common factor.
The factors of 1805 are 1, 5, 19, 95, 361, 1805
The factors of 8473 are 1, 37, 229, 8473
The HCF of 1805,8473 is 1.
Lets's calculate GCF of 1805,8473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1805,8473 By Matching Biggest Common Factor Method
Now, list down the factors of 1805
:1,5,19,95,361,1805
Now, list down the factors of 8473
:1,37,229,8473
Greatest Common Factor
We found the factors 1805,8473 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,8473 is 1.
Lets's calculate LCM of 331,4337
Given numbers has no common factors except 1. So, there LCM is their product i.e 1435547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1435547
Therefore, the GCF of Fractions 1805/331,8473/4337 is 1/1435547
Least Common Multiple of 331,4337 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 331,4337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,4337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,4337) x common factors =1 x 1 = 1
LCM(331,4337) = ( 331 × 4337 ) / 1
LCM(331,4337) = 1435547 / 1
LCM(331,4337) = 1435547
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FAQs on GCF of Fractions of 1805/331, 8473/4337
1. What is the HCF of 1805,8473?
The HCF of 1805,8473 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 1805/331, 8473/4337?
Answer: GCF of Numerators as per given numbers 1805/331, 8473/4337 is
GCF of Numerators i.e. for 1805,8473 is 1
LCM of denominators i.e. for 331,4337 is 1435547.
Thus, GCF of Fractions is 1/1435547.Finally, GCF of Fractions for 1805/331, 8473/4337 is 1/1435547.