GCD of 760, 520, 784, 349 Calculator

Given Input numbers are 760, 520, 784, 349

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (760, 520, 784, 349) = 1.

Given numbers are 760, 520, 784, 349

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 349 are 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 760, 520, 784, 349

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

Apply this formula for all numbers.

Step1:

LCM(760, 520) = 9880

GCD(760, 520) = ( 760 x 520 ) / 9880

= 760 / 520

= 760

Step2:

LCM(40, 784) = 3920

GCD(40, 784) = ( 40 x 784 ) / 3920

= 40 / 784

= 40

Step3:

LCM(8, 349) = 2792

GCD(8, 349) = ( 8 x 349 ) / 2792

= 8 / 349

= 8

So, Greatest Common Divisor of 760, 520, 784, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 386, 927, 638
• GCD of 101, 992, 599, 432
• GCD of 930, 542, 913, 257
• GCD of 772, 125, 973, 484
• GCD of 284, 267, 930, 129

Given numbers are 760, 520, 784, 349
The greatest common divisor of numbers 760, 520, 784, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 520, 784, 349 is 1.

1. What is the GCD of 760, 520, 784, 349?

GCD of given numbers 760, 520, 784, 349 is 1

2. How to calculate the greatest common divisor of 760, 520, 784, 349?

We can find the highest common divisor of 760, 520, 784, 349 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 760, 520, 784, 349 i.e 1.

3. How can I use the GCD of 760, 520, 784, 349Calculator?

Out the numbers 760, 520, 784, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.