GCD of 738, 450, 119, 870 Calculator

Given Input numbers are 738, 450, 119, 870

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

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 119 :

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

1, 7, 17, 119

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (738, 450, 119, 870) = 1.

Given numbers are 738, 450, 119, 870

The list of prime factors of all numbers are

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 119 are 7 x 17

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 738, 450, 119, 870

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

Apply this formula for all numbers.

Step1:

LCM(738, 450) = 18450

GCD(738, 450) = ( 738 x 450 ) / 18450

= 738 / 450

= 738

Step2:

LCM(18, 119) = 2142

GCD(18, 119) = ( 18 x 119 ) / 2142

= 18 / 119

= 18

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 738, 450, 119, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 853, 697, 784
• GCD of 977, 782, 280, 538
• GCD of 503, 479, 638, 237
• GCD of 940, 662, 834, 520
• GCD of 793, 997, 974, 465

Given numbers are 738, 450, 119, 870
The greatest common divisor of numbers 738, 450, 119, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 450, 119, 870 is 1.

1. What is the GCD of 738, 450, 119, 870?

GCD of given numbers 738, 450, 119, 870 is 1

2. How to calculate the greatest common divisor of 738, 450, 119, 870?

We can find the highest common divisor of 738, 450, 119, 870 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 738, 450, 119, 870 i.e 1.

3. How can I use the GCD of 738, 450, 119, 870Calculator?

Out the numbers 738, 450, 119, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.