Online GCD Calculator is useful to find the GCD of 276, 924, 969, 343 quickly. Get the easiest ways to solve the greatest common divisor of 276, 924, 969, 343 i.e 1 in different methods as follows.
Given Input numbers are 276, 924, 969, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (276, 924, 969, 343) = 1.
Given numbers are 276, 924, 969, 343
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 969 are 3 x 17 x 19
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 276, 924, 969, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 924) = 21252
GCD(276, 924) = ( 276 x 924 ) / 21252
= 276 / 924
= 276
Step2:
LCM(12, 969) = 3876
GCD(12, 969) = ( 12 x 969 ) / 3876
= 12 / 969
= 12
Step3:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
So, Greatest Common Divisor of 276, 924, 969, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 924, 969, 343
The greatest common divisor of numbers 276, 924, 969, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 924, 969, 343 is 1.
1. What is the GCD of 276, 924, 969, 343?
GCD of given numbers 276, 924, 969, 343 is 1
2. How to calculate the greatest common divisor of 276, 924, 969, 343?
We can find the highest common divisor of 276, 924, 969, 343 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 276, 924, 969, 343 i.e 1.
3. How can I use the GCD of 276, 924, 969, 343Calculator?
Out the numbers 276, 924, 969, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.