GCD of 969, 513, 456, 977 Calculator

Given Input numbers are 969, 513, 456, 977

In the factoring method, we have to find the divisors of all numbers

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (969, 513, 456, 977) = 1.

Given numbers are 969, 513, 456, 977

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 977 are 977

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 969, 513, 456, 977

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(969, 513) = 8721

GCD(969, 513) = ( 969 x 513 ) / 8721

= 969 / 513

= 969

Step2:

LCM(57, 456) = 456

GCD(57, 456) = ( 57 x 456 ) / 456

= 57 / 456

= 57

Step3:

LCM(57, 977) = 55689

GCD(57, 977) = ( 57 x 977 ) / 55689

= 57 / 977

= 57

So, Greatest Common Divisor of 969, 513, 456, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 679, 645, 994
• GCD of 148, 432, 957, 997
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• GCD of 129, 903, 111, 681

Given numbers are 969, 513, 456, 977
The greatest common divisor of numbers 969, 513, 456, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 513, 456, 977 is 1.

1. What is the GCD of 969, 513, 456, 977?

GCD of given numbers 969, 513, 456, 977 is 1

2. How to calculate the greatest common divisor of 969, 513, 456, 977?

We can find the highest common divisor of 969, 513, 456, 977 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 969, 513, 456, 977 i.e 1.

3. How can I use the GCD of 969, 513, 456, 977Calculator?

Out the numbers 969, 513, 456, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.