GCD of 148, 216, 976, 376 Calculator

Given Input numbers are 148, 216, 976, 376

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (148, 216, 976, 376) = 4.

Given numbers are 148, 216, 976, 376

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2²

Therefore, GCD of 148, 216, 976, 376 is 4.

Given numbers are 148, 216, 976, 376

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

Apply this formula for all numbers.

Step1:

LCM(148, 216) = 7992

GCD(148, 216) = ( 148 x 216 ) / 7992

= 148 / 216

= 148

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 376) = 376

GCD(4, 376) = ( 4 x 376 ) / 376

= 4 / 376

= 4

So, Greatest Common Divisor of 148, 216, 976, 376 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 742, 517, 281
• GCD of 578, 288, 161, 687
• GCD of 431, 441, 403, 116
• GCD of 347, 236, 828, 643
• GCD of 108, 966, 526, 890

Given numbers are 148, 216, 976, 376
The greatest common divisor of numbers 148, 216, 976, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 216, 976, 376 is 4.

1. What is the GCD of 148, 216, 976, 376?

GCD of given numbers 148, 216, 976, 376 is 4

2. How to calculate the greatest common divisor of 148, 216, 976, 376?

We can find the highest common divisor of 148, 216, 976, 376 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 148, 216, 976, 376 i.e 4.

3. How can I use the GCD of 148, 216, 976, 376Calculator?

Out the numbers 148, 216, 976, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.