GCD of 702, 306, 741, 780 Calculator

Given Input numbers are 702, 306, 741, 780

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 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (702, 306, 741, 780) = 3.

Given numbers are 702, 306, 741, 780

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 306 are 2 x 3 x 3 x 17

Prime factors of 741 are 3 x 13 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 702, 306, 741, 780 is 3.

Given numbers are 702, 306, 741, 780

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

Apply this formula for all numbers.

Step1:

LCM(702, 306) = 11934

GCD(702, 306) = ( 702 x 306 ) / 11934

= 702 / 306

= 702

Step2:

LCM(18, 741) = 4446

GCD(18, 741) = ( 18 x 741 ) / 4446

= 18 / 741

= 18

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 702, 306, 741, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 704, 770, 950
• GCD of 492, 441, 701, 550
• GCD of 306, 720, 560, 771
• GCD of 367, 879, 886, 915
• GCD of 292, 936, 143, 945

Given numbers are 702, 306, 741, 780
The greatest common divisor of numbers 702, 306, 741, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 306, 741, 780 is 3.

1. What is the GCD of 702, 306, 741, 780?

GCD of given numbers 702, 306, 741, 780 is 3

2. How to calculate the greatest common divisor of 702, 306, 741, 780?

We can find the highest common divisor of 702, 306, 741, 780 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, 306, 741, 780 i.e 3.

3. How can I use the GCD of 702, 306, 741, 780Calculator?

Out the numbers 702, 306, 741, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.