GCD of 766, 364, 870, 632 Calculator

Given Input numbers are 766, 364, 870, 632

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (766, 364, 870, 632) = 2.

Given numbers are 766, 364, 870, 632

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 766, 364, 870, 632 is 2.

Given numbers are 766, 364, 870, 632

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

Apply this formula for all numbers.

Step1:

LCM(766, 364) = 139412

GCD(766, 364) = ( 766 x 364 ) / 139412

= 766 / 364

= 766

Step2:

LCM(2, 870) = 870

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

= 2 / 870

= 2

Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

So, Greatest Common Divisor of 766, 364, 870, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 990, 836, 425
• GCD of 124, 716, 398, 219
• GCD of 672, 869, 361, 243
• GCD of 882, 895, 616, 168
• GCD of 466, 189, 417, 134

Given numbers are 766, 364, 870, 632
The greatest common divisor of numbers 766, 364, 870, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 364, 870, 632 is 2.

1. What is the GCD of 766, 364, 870, 632?

GCD of given numbers 766, 364, 870, 632 is 2

2. How to calculate the greatest common divisor of 766, 364, 870, 632?

We can find the highest common divisor of 766, 364, 870, 632 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 766, 364, 870, 632 i.e 2.

3. How can I use the GCD of 766, 364, 870, 632Calculator?

Out the numbers 766, 364, 870, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.