GCD of 780, 400, 708, 766 Calculator

Given Input numbers are 780, 400, 708, 766

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

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (780, 400, 708, 766) = 2.

Given numbers are 780, 400, 708, 766

The list of prime factors of all numbers are

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 780, 400, 708, 766 is 2.

Given numbers are 780, 400, 708, 766

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

Apply this formula for all numbers.

Step1:

LCM(780, 400) = 15600

GCD(780, 400) = ( 780 x 400 ) / 15600

= 780 / 400

= 780

Step2:

LCM(20, 708) = 3540

GCD(20, 708) = ( 20 x 708 ) / 3540

= 20 / 708

= 20

Step3:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

So, Greatest Common Divisor of 780, 400, 708, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 513, 974, 675
• GCD of 712, 426, 233, 562
• GCD of 570, 541, 900, 711
• GCD of 890, 388, 756, 637
• GCD of 348, 271, 386, 236

Given numbers are 780, 400, 708, 766
The greatest common divisor of numbers 780, 400, 708, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 400, 708, 766 is 2.

1. What is the GCD of 780, 400, 708, 766?

GCD of given numbers 780, 400, 708, 766 is 2

2. How to calculate the greatest common divisor of 780, 400, 708, 766?

We can find the highest common divisor of 780, 400, 708, 766 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 780, 400, 708, 766 i.e 2.

3. How can I use the GCD of 780, 400, 708, 766Calculator?

Out the numbers 780, 400, 708, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.