GCD of 735, 508, 307, 984 Calculator

Given Input numbers are 735, 508, 307, 984

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (735, 508, 307, 984) = 1.

Given numbers are 735, 508, 307, 984

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 307 are 307

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 735, 508, 307, 984

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

Apply this formula for all numbers.

Step1:

LCM(735, 508) = 373380

GCD(735, 508) = ( 735 x 508 ) / 373380

= 735 / 508

= 735

Step2:

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

= 1 / 307

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 735, 508, 307, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 858, 613, 500
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Given numbers are 735, 508, 307, 984
The greatest common divisor of numbers 735, 508, 307, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 508, 307, 984 is 1.

1. What is the GCD of 735, 508, 307, 984?

GCD of given numbers 735, 508, 307, 984 is 1

2. How to calculate the greatest common divisor of 735, 508, 307, 984?

We can find the highest common divisor of 735, 508, 307, 984 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, 508, 307, 984 i.e 1.

3. How can I use the GCD of 735, 508, 307, 984Calculator?

Out the numbers 735, 508, 307, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.