GCD of 702, 150, 472, 680 Calculator

Given Input numbers are 702, 150, 472, 680

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (702, 150, 472, 680) = 2.

Given numbers are 702, 150, 472, 680

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 150 are 2 x 3 x 5 x 5

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 702, 150, 472, 680 is 2.

Given numbers are 702, 150, 472, 680

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

Apply this formula for all numbers.

Step1:

LCM(702, 150) = 17550

GCD(702, 150) = ( 702 x 150 ) / 17550

= 702 / 150

= 702

Step2:

LCM(6, 472) = 1416

GCD(6, 472) = ( 6 x 472 ) / 1416

= 6 / 472

= 6

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 702, 150, 472, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 898, 976, 494
• GCD of 383, 770, 770, 509
• GCD of 258, 266, 571, 689
• GCD of 494, 678, 322, 384
• GCD of 355, 890, 606, 288

Given numbers are 702, 150, 472, 680
The greatest common divisor of numbers 702, 150, 472, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 150, 472, 680 is 2.

1. What is the GCD of 702, 150, 472, 680?

GCD of given numbers 702, 150, 472, 680 is 2

2. How to calculate the greatest common divisor of 702, 150, 472, 680?

We can find the highest common divisor of 702, 150, 472, 680 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, 150, 472, 680 i.e 2.

3. How can I use the GCD of 702, 150, 472, 680Calculator?

Out the numbers 702, 150, 472, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.