GCF of 1369/824, 5323/4185
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1369/824, 5323/4185 i.e 1/3448440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/824, 5323/4185.
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 1369/824,5323/4185?
Given fractions are 1369/824,5323/4185
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 1369/824,5323/4185, numerators are 1369,5323
Denominators are 824,4185
The GCF of 1369,5323 is 1 .
LCM of 824,4185 is 3448440.
The greatest common factor of 1369/824,5323/4185 = [GCF of 1369,5323]/[LCM of 824,4185]= 1/3448440
Therefore, the GCF of 1369/824,5323/4185 is 1/3448440.
To find the highest common factor of 1369,5323, we have to find the factors of both numbers and list the highest common factor.
The factors of 1369 are 1, 37, 1369
The factors of 5323 are 1, 5323
The HCF of 1369,5323 is 1.
Lets's calculate GCF of 1369,5323
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1369,5323 By Matching Biggest Common Factor Method
Now, list down the factors of 1369
:1,37,1369
Now, list down the factors of 5323
:1,5323
Greatest Common Factor
We found the factors 1369,5323 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,5323 is 1.
Lets's calculate LCM of 824,4185
Given numbers has no common factors except 1. So, there LCM is their product i.e 3448440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3448440
Therefore, the GCF of Fractions 1369/824,5323/4185 is 1/3448440
Least Common Multiple of 824,4185 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 824,4185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,4185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,4185) x common factors =1 x 1 = 1
LCM(824,4185) = ( 824 × 4185 ) / 1
LCM(824,4185) = 3448440 / 1
LCM(824,4185) = 3448440
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FAQs on GCF of Fractions of 1369/824, 5323/4185
1. What is the HCF of 1369,5323?
The HCF of 1369,5323 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 1369/824, 5323/4185?
Answer: GCF of Numerators as per given numbers 1369/824, 5323/4185 is
GCF of Numerators i.e. for 1369,5323 is 1
LCM of denominators i.e. for 824,4185 is 3448440.
Thus, GCF of Fractions is 1/3448440.Finally, GCF of Fractions for 1369/824, 5323/4185 is 1/3448440.