GCD of 748, 940, 164, 634 Calculator

Given Input numbers are 748, 940, 164, 634

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

GCD of numbers is the greatest common divisor

So, the GCD (748, 940, 164, 634) = 2.

Given numbers are 748, 940, 164, 634

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 164 are 2 x 2 x 41

Prime factors of 634 are 2 x 317

The highest common occurrence is 2¹

Therefore, GCD of 748, 940, 164, 634 is 2.

Given numbers are 748, 940, 164, 634

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

Apply this formula for all numbers.

Step1:

LCM(748, 940) = 175780

GCD(748, 940) = ( 748 x 940 ) / 175780

= 748 / 940

= 748

Step2:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4

Step3:

LCM(4, 634) = 1268

GCD(4, 634) = ( 4 x 634 ) / 1268

= 4 / 634

= 4

So, Greatest Common Divisor of 748, 940, 164, 634 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 770, 109, 624
• GCD of 732, 142, 819, 574
• GCD of 367, 341, 600, 497
• GCD of 786, 560, 678, 722
• GCD of 389, 138, 180, 426

Given numbers are 748, 940, 164, 634
The greatest common divisor of numbers 748, 940, 164, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 940, 164, 634 is 2.

1. What is the GCD of 748, 940, 164, 634?

GCD of given numbers 748, 940, 164, 634 is 2

2. How to calculate the greatest common divisor of 748, 940, 164, 634?

We can find the highest common divisor of 748, 940, 164, 634 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 748, 940, 164, 634 i.e 2.

3. How can I use the GCD of 748, 940, 164, 634Calculator?

Out the numbers 748, 940, 164, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.