GCD of 350, 465, 828, 624 Calculator

Given Input numbers are 350, 465, 828, 624

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (350, 465, 828, 624) = 1.

Given numbers are 350, 465, 828, 624

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 465 are 3 x 5 x 31

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Given numbers are 350, 465, 828, 624

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

Apply this formula for all numbers.

Step1:

LCM(350, 465) = 32550

GCD(350, 465) = ( 350 x 465 ) / 32550

= 350 / 465

= 350

Step2:

LCM(5, 828) = 4140

GCD(5, 828) = ( 5 x 828 ) / 4140

= 5 / 828

= 5

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 350, 465, 828, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 420, 456, 202
• GCD of 750, 268, 841, 387
• GCD of 469, 724, 506, 331
• GCD of 827, 892, 193, 320
• GCD of 841, 906, 476, 755

Given numbers are 350, 465, 828, 624
The greatest common divisor of numbers 350, 465, 828, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 465, 828, 624 is 1.

1. What is the GCD of 350, 465, 828, 624?

GCD of given numbers 350, 465, 828, 624 is 1

2. How to calculate the greatest common divisor of 350, 465, 828, 624?

We can find the highest common divisor of 350, 465, 828, 624 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 350, 465, 828, 624 i.e 1.

3. How can I use the GCD of 350, 465, 828, 624Calculator?

Out the numbers 350, 465, 828, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.