GCD of 987, 343, 600, 495 Calculator

Given Input numbers are 987, 343, 600, 495

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (987, 343, 600, 495) = 1.

Given numbers are 987, 343, 600, 495

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 343 are 7 x 7 x 7

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 495 are 3 x 3 x 5 x 11

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

Given numbers are 987, 343, 600, 495

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

Apply this formula for all numbers.

Step1:

LCM(987, 343) = 48363

GCD(987, 343) = ( 987 x 343 ) / 48363

= 987 / 343

= 987

Step2:

LCM(7, 600) = 4200

GCD(7, 600) = ( 7 x 600 ) / 4200

= 7 / 600

= 7

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 987, 343, 600, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 370, 459, 295
• GCD of 816, 168, 733, 407
• GCD of 272, 892, 191, 553
• GCD of 541, 721, 915, 870
• GCD of 851, 221, 593, 206

Given numbers are 987, 343, 600, 495
The greatest common divisor of numbers 987, 343, 600, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 343, 600, 495 is 1.

1. What is the GCD of 987, 343, 600, 495?

GCD of given numbers 987, 343, 600, 495 is 1

2. How to calculate the greatest common divisor of 987, 343, 600, 495?

We can find the highest common divisor of 987, 343, 600, 495 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, 343, 600, 495 i.e 1.

3. How can I use the GCD of 987, 343, 600, 495Calculator?

Out the numbers 987, 343, 600, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.