GCD of 896, 976, 740, 164 Calculator

Given Input numbers are 896, 976, 740, 164

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (896, 976, 740, 164) = 4.

Given numbers are 896, 976, 740, 164

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 896, 976, 740, 164 is 4.

Given numbers are 896, 976, 740, 164

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

Apply this formula for all numbers.

Step1:

LCM(896, 976) = 54656

GCD(896, 976) = ( 896 x 976 ) / 54656

= 896 / 976

= 896

Step2:

LCM(16, 740) = 2960

GCD(16, 740) = ( 16 x 740 ) / 2960

= 16 / 740

= 16

Step3:

LCM(4, 164) = 164

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

= 4 / 164

= 4

So, Greatest Common Divisor of 896, 976, 740, 164 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 897, 106, 550
• GCD of 809, 716, 318, 179
• GCD of 494, 257, 302, 949
• GCD of 303, 372, 654, 677
• GCD of 304, 420, 988, 513

Given numbers are 896, 976, 740, 164
The greatest common divisor of numbers 896, 976, 740, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 976, 740, 164 is 4.

1. What is the GCD of 896, 976, 740, 164?

GCD of given numbers 896, 976, 740, 164 is 4

2. How to calculate the greatest common divisor of 896, 976, 740, 164?

We can find the highest common divisor of 896, 976, 740, 164 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 896, 976, 740, 164 i.e 4.

3. How can I use the GCD of 896, 976, 740, 164Calculator?

Out the numbers 896, 976, 740, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.