GCD of 735, 355, 987, 916 Calculator

Given Input numbers are 735, 355, 987, 916

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 987 :

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

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (735, 355, 987, 916) = 1.

Given numbers are 735, 355, 987, 916

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 355 are 5 x 71

Prime factors of 987 are 3 x 7 x 47

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 735, 355, 987, 916

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

Apply this formula for all numbers.

Step1:

LCM(735, 355) = 52185

GCD(735, 355) = ( 735 x 355 ) / 52185

= 735 / 355

= 735

Step2:

LCM(5, 987) = 4935

GCD(5, 987) = ( 5 x 987 ) / 4935

= 5 / 987

= 5

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 735, 355, 987, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 992, 400, 121
• GCD of 768, 366, 320, 974
• GCD of 531, 161, 911, 815
• GCD of 636, 233, 318, 490
• GCD of 277, 937, 514, 413

Given numbers are 735, 355, 987, 916
The greatest common divisor of numbers 735, 355, 987, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 355, 987, 916 is 1.

1. What is the GCD of 735, 355, 987, 916?

GCD of given numbers 735, 355, 987, 916 is 1

2. How to calculate the greatest common divisor of 735, 355, 987, 916?

We can find the highest common divisor of 735, 355, 987, 916 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 735, 355, 987, 916 i.e 1.

3. How can I use the GCD of 735, 355, 987, 916Calculator?

Out the numbers 735, 355, 987, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.