GCD of 874, 290, 870, 742 Calculator

Given Input numbers are 874, 290, 870, 742

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (874, 290, 870, 742) = 2.

Given numbers are 874, 290, 870, 742

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 290 are 2 x 5 x 29

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

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 874, 290, 870, 742 is 2.

Given numbers are 874, 290, 870, 742

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

Apply this formula for all numbers.

Step1:

LCM(874, 290) = 126730

GCD(874, 290) = ( 874 x 290 ) / 126730

= 874 / 290

= 874

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 874, 290, 870, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 531, 695, 975
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Given numbers are 874, 290, 870, 742
The greatest common divisor of numbers 874, 290, 870, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 290, 870, 742 is 2.

1. What is the GCD of 874, 290, 870, 742?

GCD of given numbers 874, 290, 870, 742 is 2

2. How to calculate the greatest common divisor of 874, 290, 870, 742?

We can find the highest common divisor of 874, 290, 870, 742 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 874, 290, 870, 742 i.e 2.

3. How can I use the GCD of 874, 290, 870, 742Calculator?

Out the numbers 874, 290, 870, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.