GCD of 780, 784, 560, 734 Calculator

Given Input numbers are 780, 784, 560, 734

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (780, 784, 560, 734) = 2.

Given numbers are 780, 784, 560, 734

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 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 780, 784, 560, 734 is 2.

Given numbers are 780, 784, 560, 734

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

Apply this formula for all numbers.

Step1:

LCM(780, 784) = 152880

GCD(780, 784) = ( 780 x 784 ) / 152880

= 780 / 784

= 780

Step2:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

Step3:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4

So, Greatest Common Divisor of 780, 784, 560, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 863, 188, 109
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Given numbers are 780, 784, 560, 734
The greatest common divisor of numbers 780, 784, 560, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 784, 560, 734 is 2.

1. What is the GCD of 780, 784, 560, 734?

GCD of given numbers 780, 784, 560, 734 is 2

2. How to calculate the greatest common divisor of 780, 784, 560, 734?

We can find the highest common divisor of 780, 784, 560, 734 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, 784, 560, 734 i.e 2.

3. How can I use the GCD of 780, 784, 560, 734Calculator?

Out the numbers 780, 784, 560, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.