GCF of 1764/723, 4213/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1764/723, 4213/404 i.e 1/292092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1764/723, 4213/404.
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 1764/723,4213/404?
Given fractions are 1764/723,4213/404
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 1764/723,4213/404, numerators are 1764,4213
Denominators are 723,404
The GCF of 1764,4213 is 1 .
LCM of 723,404 is 292092.
The greatest common factor of 1764/723,4213/404 = [GCF of 1764,4213]/[LCM of 723,404]= 1/292092
Therefore, the GCF of 1764/723,4213/404 is 1/292092.
To find the highest common factor of 1764,4213, we have to find the factors of both numbers and list the highest common factor.
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The factors of 4213 are 1, 11, 383, 4213
The HCF of 1764,4213 is 1.
Lets's calculate GCF of 1764,4213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1764,4213 By Matching Biggest Common Factor Method
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Now, list down the factors of 4213
:1,11,383,4213
Greatest Common Factor
We found the factors 1764,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 1764,4213 is 1.
Lets's calculate LCM of 723,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 292092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292092
Therefore, the GCF of Fractions 1764/723,4213/404 is 1/292092
Least Common Multiple of 723,404 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 723,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,404) x common factors =1 x 1 = 1
LCM(723,404) = ( 723 × 404 ) / 1
LCM(723,404) = 292092 / 1
LCM(723,404) = 292092
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FAQs on GCF of Fractions of 1764/723, 4213/404
1. What is the HCF of 1764,4213?
The HCF of 1764,4213 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 1764/723, 4213/404?
Answer: GCF of Numerators as per given numbers 1764/723, 4213/404 is
GCF of Numerators i.e. for 1764,4213 is 1
LCM of denominators i.e. for 723,404 is 292092.
Thus, GCF of Fractions is 1/292092.Finally, GCF of Fractions for 1764/723, 4213/404 is 1/292092.