GCD of 749, 465, 789, 870 Calculator

Given Input numbers are 749, 465, 789, 870

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

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 (749, 465, 789, 870) = 1.

Given numbers are 749, 465, 789, 870

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 465 are 3 x 5 x 31

Prime factors of 789 are 3 x 263

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 749, 465, 789, 870

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

Apply this formula for all numbers.

Step1:

LCM(749, 465) = 348285

GCD(749, 465) = ( 749 x 465 ) / 348285

= 749 / 465

= 749

Step2:

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

= 1 / 789

= 1

Step3:

LCM(1, 870) = 870

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

= 1 / 870

= 1

So, Greatest Common Divisor of 749, 465, 789, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 623, 930, 491
• GCD of 731, 967, 778, 246
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Given numbers are 749, 465, 789, 870
The greatest common divisor of numbers 749, 465, 789, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 465, 789, 870 is 1.

1. What is the GCD of 749, 465, 789, 870?

GCD of given numbers 749, 465, 789, 870 is 1

2. How to calculate the greatest common divisor of 749, 465, 789, 870?

We can find the highest common divisor of 749, 465, 789, 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 749, 465, 789, 870 i.e 1.

3. How can I use the GCD of 749, 465, 789, 870Calculator?

Out the numbers 749, 465, 789, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.