GCD of 702, 501, 162, 825 Calculator

Given Input numbers are 702, 501, 162, 825

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (702, 501, 162, 825) = 3.

Given numbers are 702, 501, 162, 825

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 501 are 3 x 167

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 702, 501, 162, 825 is 3.

Given numbers are 702, 501, 162, 825

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

Apply this formula for all numbers.

Step1:

LCM(702, 501) = 117234

GCD(702, 501) = ( 702 x 501 ) / 117234

= 702 / 501

= 702

Step2:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

Step3:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 702, 501, 162, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 201, 834, 208
• GCD of 238, 437, 982, 164
• GCD of 521, 848, 533, 821
• GCD of 693, 976, 107, 946
• GCD of 831, 658, 893, 445

Given numbers are 702, 501, 162, 825
The greatest common divisor of numbers 702, 501, 162, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 501, 162, 825 is 3.

1. What is the GCD of 702, 501, 162, 825?

GCD of given numbers 702, 501, 162, 825 is 3

2. How to calculate the greatest common divisor of 702, 501, 162, 825?

We can find the highest common divisor of 702, 501, 162, 825 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 702, 501, 162, 825 i.e 3.

3. How can I use the GCD of 702, 501, 162, 825Calculator?

Out the numbers 702, 501, 162, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.