GCD of 985, 950, 748, 689 Calculator

Given Input numbers are 985, 950, 748, 689

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (985, 950, 748, 689) = 1.

Given numbers are 985, 950, 748, 689

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 689 are 13 x 53

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

Given numbers are 985, 950, 748, 689

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

Apply this formula for all numbers.

Step1:

LCM(985, 950) = 187150

GCD(985, 950) = ( 985 x 950 ) / 187150

= 985 / 950

= 985

Step2:

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

= 5 / 748

= 5

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 985, 950, 748, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 172, 548, 129
• GCD of 329, 951, 252, 494
• GCD of 596, 646, 173, 535
• GCD of 825, 903, 227, 781
• GCD of 621, 641, 509, 589

Given numbers are 985, 950, 748, 689
The greatest common divisor of numbers 985, 950, 748, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 950, 748, 689 is 1.

1. What is the GCD of 985, 950, 748, 689?

GCD of given numbers 985, 950, 748, 689 is 1

2. How to calculate the greatest common divisor of 985, 950, 748, 689?

We can find the highest common divisor of 985, 950, 748, 689 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 985, 950, 748, 689 i.e 1.

3. How can I use the GCD of 985, 950, 748, 689Calculator?

Out the numbers 985, 950, 748, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.