Online GCD Calculator is useful to find the GCD of 423, 297, 275, 840 quickly. Get the easiest ways to solve the greatest common divisor of 423, 297, 275, 840 i.e 1 in different methods as follows.
Given Input numbers are 423, 297, 275, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (423, 297, 275, 840) = 1.
Given numbers are 423, 297, 275, 840
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 275 are 5 x 5 x 11
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 423, 297, 275, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 297) = 13959
GCD(423, 297) = ( 423 x 297 ) / 13959
= 423 / 297
= 423
Step2:
LCM(9, 275) = 2475
GCD(9, 275) = ( 9 x 275 ) / 2475
= 9 / 275
= 9
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 423, 297, 275, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 423, 297, 275, 840
The greatest common divisor of numbers 423, 297, 275, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 297, 275, 840 is 1.
1. What is the GCD of 423, 297, 275, 840?
GCD of given numbers 423, 297, 275, 840 is 1
2. How to calculate the greatest common divisor of 423, 297, 275, 840?
We can find the highest common divisor of 423, 297, 275, 840 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 423, 297, 275, 840 i.e 1.
3. How can I use the GCD of 423, 297, 275, 840Calculator?
Out the numbers 423, 297, 275, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.