GCD of 976, 148, 190, 362 Calculator

Given Input numbers are 976, 148, 190, 362

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

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 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (976, 148, 190, 362) = 2.

Given numbers are 976, 148, 190, 362

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 190 are 2 x 5 x 19

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 976, 148, 190, 362 is 2.

Given numbers are 976, 148, 190, 362

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

Apply this formula for all numbers.

Step1:

LCM(976, 148) = 36112

GCD(976, 148) = ( 976 x 148 ) / 36112

= 976 / 148

= 976

Step2:

LCM(4, 190) = 380

GCD(4, 190) = ( 4 x 190 ) / 380

= 4 / 190

= 4

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 976, 148, 190, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 801, 200, 728
• GCD of 793, 850, 947, 567
• GCD of 655, 116, 755, 547
• GCD of 336, 963, 134, 200
• GCD of 131, 995, 325, 647

Given numbers are 976, 148, 190, 362
The greatest common divisor of numbers 976, 148, 190, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 148, 190, 362 is 2.

1. What is the GCD of 976, 148, 190, 362?

GCD of given numbers 976, 148, 190, 362 is 2

2. How to calculate the greatest common divisor of 976, 148, 190, 362?

We can find the highest common divisor of 976, 148, 190, 362 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 976, 148, 190, 362 i.e 2.

3. How can I use the GCD of 976, 148, 190, 362Calculator?

Out the numbers 976, 148, 190, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.