GCD of 824, 498, 632, 945 Calculator

Given Input numbers are 824, 498, 632, 945

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 498, 632, 945) = 1.

Given numbers are 824, 498, 632, 945

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 498 are 2 x 3 x 83

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 824, 498, 632, 945

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

Apply this formula for all numbers.

Step1:

LCM(824, 498) = 205176

GCD(824, 498) = ( 824 x 498 ) / 205176

= 824 / 498

= 824

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

= 2 / 945

= 2

So, Greatest Common Divisor of 824, 498, 632, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 488, 891, 344
• GCD of 838, 807, 801, 605
• GCD of 871, 990, 942, 574
• GCD of 311, 878, 828, 477
• GCD of 379, 875, 735, 162

Given numbers are 824, 498, 632, 945
The greatest common divisor of numbers 824, 498, 632, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 498, 632, 945 is 1.

1. What is the GCD of 824, 498, 632, 945?

GCD of given numbers 824, 498, 632, 945 is 1

2. How to calculate the greatest common divisor of 824, 498, 632, 945?

We can find the highest common divisor of 824, 498, 632, 945 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 824, 498, 632, 945 i.e 1.

3. How can I use the GCD of 824, 498, 632, 945Calculator?

Out the numbers 824, 498, 632, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.