GCD of 684, 514, 160, 749 Calculator

Given Input numbers are 684, 514, 160, 749

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (684, 514, 160, 749) = 1.

Given numbers are 684, 514, 160, 749

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 514 are 2 x 257

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 749 are 7 x 107

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

Given numbers are 684, 514, 160, 749

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

Apply this formula for all numbers.

Step1:

LCM(684, 514) = 175788

GCD(684, 514) = ( 684 x 514 ) / 175788

= 684 / 514

= 684

Step2:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 684, 514, 160, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 516, 696, 520
• GCD of 590, 375, 169, 202
• GCD of 990, 471, 578, 440
• GCD of 984, 983, 446, 965
• GCD of 201, 491, 232, 215

Given numbers are 684, 514, 160, 749
The greatest common divisor of numbers 684, 514, 160, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 514, 160, 749 is 1.

1. What is the GCD of 684, 514, 160, 749?

GCD of given numbers 684, 514, 160, 749 is 1

2. How to calculate the greatest common divisor of 684, 514, 160, 749?

We can find the highest common divisor of 684, 514, 160, 749 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 684, 514, 160, 749 i.e 1.

3. How can I use the GCD of 684, 514, 160, 749Calculator?

Out the numbers 684, 514, 160, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.