GCF of 5323/365, 2100/657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5323/365, 2100/657 i.e 1/3285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5323/365, 2100/657.
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 5323/365,2100/657?
Given fractions are 5323/365,2100/657
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 5323/365,2100/657, numerators are 5323,2100
Denominators are 365,657
The GCF of 5323,2100 is 1 .
LCM of 365,657 is 3285.
The greatest common factor of 5323/365,2100/657 = [GCF of 5323,2100]/[LCM of 365,657]= 1/3285
Therefore, the GCF of 5323/365,2100/657 is 1/3285.
To find the highest common factor of 5323,2100, we have to find the factors of both numbers and list the highest common factor.
The factors of 5323 are 1, 5323
The factors of 2100 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100
The HCF of 5323,2100 is 1.
Lets's calculate GCF of 5323,2100
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5323,2100 By Matching Biggest Common Factor Method
Now, list down the factors of 5323
:1,5323
Now, list down the factors of 2100
:1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100
Greatest Common Factor
We found the factors 5323,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 5323,2100 is 1.
Lets's calculate LCM of 365,657
| 73 | 365, 657 |
| 5, 9 |
∴ So the LCM of the given numbers is 73 x 5 x 9 = 3285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3285
Therefore, the GCF of Fractions 5323/365,2100/657 is 1/3285
Least Common Multiple of 365,657 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 365,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,657) = 73
common factors(in case of two or more numbers have common factors) = 1
GCF(365,657) x common factors =73 x 1 = 73
LCM(365,657) = ( 365 × 657 ) / 73
LCM(365,657) = 239805 / 73
LCM(365,657) = 3285
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FAQs on GCF of Fractions of 5323/365, 2100/657
1. What is the HCF of 5323,2100?
The HCF of 5323,2100 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 5323/365, 2100/657?
Answer: GCF of Numerators as per given numbers 5323/365, 2100/657 is
GCF of Numerators i.e. for 5323,2100 is 1
LCM of denominators i.e. for 365,657 is 3285.
Thus, GCF of Fractions is 1/3285.Finally, GCF of Fractions for 5323/365, 2100/657 is 1/3285.