GCD of 756, 862, 270, 370 Calculator

Given Input numbers are 756, 862, 270, 370

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

GCD of numbers is the greatest common divisor

So, the GCD (756, 862, 270, 370) = 2.

Given numbers are 756, 862, 270, 370

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 862 are 2 x 431

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 370 are 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 756, 862, 270, 370 is 2.

Given numbers are 756, 862, 270, 370

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

Apply this formula for all numbers.

Step1:

LCM(756, 862) = 325836

GCD(756, 862) = ( 756 x 862 ) / 325836

= 756 / 862

= 756

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

So, Greatest Common Divisor of 756, 862, 270, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 659, 226, 456
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Given numbers are 756, 862, 270, 370
The greatest common divisor of numbers 756, 862, 270, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 862, 270, 370 is 2.

1. What is the GCD of 756, 862, 270, 370?

GCD of given numbers 756, 862, 270, 370 is 2

2. How to calculate the greatest common divisor of 756, 862, 270, 370?

We can find the highest common divisor of 756, 862, 270, 370 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 756, 862, 270, 370 i.e 2.

3. How can I use the GCD of 756, 862, 270, 370Calculator?

Out the numbers 756, 862, 270, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.