Online GCD Calculator is useful to find the GCD of 208, 945, 427, 957 quickly. Get the easiest ways to solve the greatest common divisor of 208, 945, 427, 957 i.e 1 in different methods as follows.
Given Input numbers are 208, 945, 427, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 427 :
The positive integer divisors of 427 that completely divides 427 are.
1, 7, 61, 427
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (208, 945, 427, 957) = 1.
Given numbers are 208, 945, 427, 957
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 427 are 7 x 61
Prime factors of 957 are 3 x 11 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 208, 945, 427, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 945) = 196560
GCD(208, 945) = ( 208 x 945 ) / 196560
= 208 / 945
= 208
Step2:
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
= 1 / 427
= 1
Step3:
LCM(1, 957) = 957
GCD(1, 957) = ( 1 x 957 ) / 957
= 1 / 957
= 1
So, Greatest Common Divisor of 208, 945, 427, 957 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 945, 427, 957
The greatest common divisor of numbers 208, 945, 427, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 945, 427, 957 is 1.
1. What is the GCD of 208, 945, 427, 957?
GCD of given numbers 208, 945, 427, 957 is 1
2. How to calculate the greatest common divisor of 208, 945, 427, 957?
We can find the highest common divisor of 208, 945, 427, 957 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 208, 945, 427, 957 i.e 1.
3. How can I use the GCD of 208, 945, 427, 957Calculator?
Out the numbers 208, 945, 427, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.