GCD of 140, 119, 689, 738 Calculator

Given Input numbers are 140, 119, 689, 738

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (140, 119, 689, 738) = 1.

Given numbers are 140, 119, 689, 738

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 119 are 7 x 17

Prime factors of 689 are 13 x 53

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 140, 119, 689, 738

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

Apply this formula for all numbers.

Step1:

LCM(140, 119) = 2380

GCD(140, 119) = ( 140 x 119 ) / 2380

= 140 / 119

= 140

Step2:

LCM(7, 689) = 4823

GCD(7, 689) = ( 7 x 689 ) / 4823

= 7 / 689

= 7

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 140, 119, 689, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 858, 302, 672
• GCD of 396, 765, 284, 612
• GCD of 944, 281, 252, 630
• GCD of 660, 507, 111, 940
• GCD of 149, 559, 492, 432

Given numbers are 140, 119, 689, 738
The greatest common divisor of numbers 140, 119, 689, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 119, 689, 738 is 1.

1. What is the GCD of 140, 119, 689, 738?

GCD of given numbers 140, 119, 689, 738 is 1

2. How to calculate the greatest common divisor of 140, 119, 689, 738?

We can find the highest common divisor of 140, 119, 689, 738 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 140, 119, 689, 738 i.e 1.

3. How can I use the GCD of 140, 119, 689, 738Calculator?

Out the numbers 140, 119, 689, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.