Online GCD Calculator is useful to find the GCD of 820, 275, 343, 354 quickly. Get the easiest ways to solve the greatest common divisor of 820, 275, 343, 354 i.e 1 in different methods as follows.
Given Input numbers are 820, 275, 343, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (820, 275, 343, 354) = 1.
Given numbers are 820, 275, 343, 354
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 275 are 5 x 5 x 11
Prime factors of 343 are 7 x 7 x 7
Prime factors of 354 are 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 820, 275, 343, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 275) = 45100
GCD(820, 275) = ( 820 x 275 ) / 45100
= 820 / 275
= 820
Step2:
LCM(5, 343) = 1715
GCD(5, 343) = ( 5 x 343 ) / 1715
= 5 / 343
= 5
Step3:
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
= 1 / 354
= 1
So, Greatest Common Divisor of 820, 275, 343, 354 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 275, 343, 354
The greatest common divisor of numbers 820, 275, 343, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 275, 343, 354 is 1.
1. What is the GCD of 820, 275, 343, 354?
GCD of given numbers 820, 275, 343, 354 is 1
2. How to calculate the greatest common divisor of 820, 275, 343, 354?
We can find the highest common divisor of 820, 275, 343, 354 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 820, 275, 343, 354 i.e 1.
3. How can I use the GCD of 820, 275, 343, 354Calculator?
Out the numbers 820, 275, 343, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.