GCD of 976, 100, 768, 461 Calculator

Given Input numbers are 976, 100, 768, 461

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (976, 100, 768, 461) = 1.

Given numbers are 976, 100, 768, 461

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 461 are 461

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

Given numbers are 976, 100, 768, 461

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

Apply this formula for all numbers.

Step1:

LCM(976, 100) = 24400

GCD(976, 100) = ( 976 x 100 ) / 24400

= 976 / 100

= 976

Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4

Step3:

LCM(4, 461) = 1844

GCD(4, 461) = ( 4 x 461 ) / 1844

= 4 / 461

= 4

So, Greatest Common Divisor of 976, 100, 768, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 358, 884, 957
• GCD of 744, 988, 120, 451
• GCD of 553, 950, 178, 992
• GCD of 842, 448, 718, 771
• GCD of 789, 577, 898, 203

Given numbers are 976, 100, 768, 461
The greatest common divisor of numbers 976, 100, 768, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 100, 768, 461 is 1.

1. What is the GCD of 976, 100, 768, 461?

GCD of given numbers 976, 100, 768, 461 is 1

2. How to calculate the greatest common divisor of 976, 100, 768, 461?

We can find the highest common divisor of 976, 100, 768, 461 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 976, 100, 768, 461 i.e 1.

3. How can I use the GCD of 976, 100, 768, 461Calculator?

Out the numbers 976, 100, 768, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.