GCD of 987, 311, 364, 148 Calculator

Given Input numbers are 987, 311, 364, 148

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

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 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (987, 311, 364, 148) = 1.

Given numbers are 987, 311, 364, 148

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 311 are 311

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

Prime factors of 148 are 2 x 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 987, 311, 364, 148

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

Apply this formula for all numbers.

Step1:

LCM(987, 311) = 306957

GCD(987, 311) = ( 987 x 311 ) / 306957

= 987 / 311

= 987

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 987, 311, 364, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 758, 490, 983
• GCD of 389, 366, 629, 705
• GCD of 489, 646, 856, 405
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• GCD of 928, 241, 788, 836

Given numbers are 987, 311, 364, 148
The greatest common divisor of numbers 987, 311, 364, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 311, 364, 148 is 1.

1. What is the GCD of 987, 311, 364, 148?

GCD of given numbers 987, 311, 364, 148 is 1

2. How to calculate the greatest common divisor of 987, 311, 364, 148?

We can find the highest common divisor of 987, 311, 364, 148 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 987, 311, 364, 148 i.e 1.

3. How can I use the GCD of 987, 311, 364, 148Calculator?

Out the numbers 987, 311, 364, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.