GCD of 828, 759, 148, 465 Calculator

Given Input numbers are 828, 759, 148, 465

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

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 465 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 759, 148, 465) = 1.

Given numbers are 828, 759, 148, 465

The list of prime factors of all numbers are

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

Prime factors of 759 are 3 x 11 x 23

Prime factors of 148 are 2 x 2 x 37

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 828, 759, 148, 465

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

Apply this formula for all numbers.

Step1:

LCM(828, 759) = 9108

GCD(828, 759) = ( 828 x 759 ) / 9108

= 828 / 759

= 828

Step2:

LCM(69, 148) = 10212

GCD(69, 148) = ( 69 x 148 ) / 10212

= 69 / 148

= 69

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 828, 759, 148, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 830, 121, 461
• GCD of 466, 871, 498, 175
• GCD of 863, 247, 256, 465
• GCD of 316, 865, 109, 760
• GCD of 711, 471, 520, 819

Given numbers are 828, 759, 148, 465
The greatest common divisor of numbers 828, 759, 148, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 759, 148, 465 is 1.

1. What is the GCD of 828, 759, 148, 465?

GCD of given numbers 828, 759, 148, 465 is 1

2. How to calculate the greatest common divisor of 828, 759, 148, 465?

We can find the highest common divisor of 828, 759, 148, 465 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 828, 759, 148, 465 i.e 1.

3. How can I use the GCD of 828, 759, 148, 465Calculator?

Out the numbers 828, 759, 148, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.