Online GCD Calculator is useful to find the GCD of 343, 220, 261, 969 quickly. Get the easiest ways to solve the greatest common divisor of 343, 220, 261, 969 i.e 1 in different methods as follows.
Given Input numbers are 343, 220, 261, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (343, 220, 261, 969) = 1.
Given numbers are 343, 220, 261, 969
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 261 are 3 x 3 x 29
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 220, 261, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 220) = 75460
GCD(343, 220) = ( 343 x 220 ) / 75460
= 343 / 220
= 343
Step2:
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
= 1 / 261
= 1
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 343, 220, 261, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 220, 261, 969
The greatest common divisor of numbers 343, 220, 261, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 220, 261, 969 is 1.
1. What is the GCD of 343, 220, 261, 969?
GCD of given numbers 343, 220, 261, 969 is 1
2. How to calculate the greatest common divisor of 343, 220, 261, 969?
We can find the highest common divisor of 343, 220, 261, 969 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 343, 220, 261, 969 i.e 1.
3. How can I use the GCD of 343, 220, 261, 969Calculator?
Out the numbers 343, 220, 261, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.