GCD of 392, 300, 949, 977 Calculator

Given Input numbers are 392, 300, 949, 977

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

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 (392, 300, 949, 977) = 1.

Given numbers are 392, 300, 949, 977

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 949 are 13 x 73

Prime factors of 977 are 977

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

Given numbers are 392, 300, 949, 977

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

Apply this formula for all numbers.

Step1:

LCM(392, 300) = 29400

GCD(392, 300) = ( 392 x 300 ) / 29400

= 392 / 300

= 392

Step2:

LCM(4, 949) = 3796

GCD(4, 949) = ( 4 x 949 ) / 3796

= 4 / 949

= 4

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 392, 300, 949, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 925, 607, 633
• GCD of 322, 130, 862, 116
• GCD of 586, 480, 100, 368
• GCD of 177, 234, 587, 220
• GCD of 873, 974, 817, 664

Given numbers are 392, 300, 949, 977
The greatest common divisor of numbers 392, 300, 949, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 300, 949, 977 is 1.

1. What is the GCD of 392, 300, 949, 977?

GCD of given numbers 392, 300, 949, 977 is 1

2. How to calculate the greatest common divisor of 392, 300, 949, 977?

We can find the highest common divisor of 392, 300, 949, 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 392, 300, 949, 977 i.e 1.

3. How can I use the GCD of 392, 300, 949, 977Calculator?

Out the numbers 392, 300, 949, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.