GCD of 689, 142, 772, 350 Calculator

Given Input numbers are 689, 142, 772, 350

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (689, 142, 772, 350) = 1.

Given numbers are 689, 142, 772, 350

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 142 are 2 x 71

Prime factors of 772 are 2 x 2 x 193

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 689, 142, 772, 350

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

Apply this formula for all numbers.

Step1:

LCM(689, 142) = 97838

GCD(689, 142) = ( 689 x 142 ) / 97838

= 689 / 142

= 689

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

= 1 / 350

= 1

So, Greatest Common Divisor of 689, 142, 772, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 601, 818, 690
• GCD of 736, 586, 793, 893
• GCD of 607, 341, 558, 465
• GCD of 676, 110, 703, 509
• GCD of 466, 839, 236, 757

Given numbers are 689, 142, 772, 350
The greatest common divisor of numbers 689, 142, 772, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 142, 772, 350 is 1.

1. What is the GCD of 689, 142, 772, 350?

GCD of given numbers 689, 142, 772, 350 is 1

2. How to calculate the greatest common divisor of 689, 142, 772, 350?

We can find the highest common divisor of 689, 142, 772, 350 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 689, 142, 772, 350 i.e 1.

3. How can I use the GCD of 689, 142, 772, 350Calculator?

Out the numbers 689, 142, 772, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.