GCD of 983, 956, 735, 688 Calculator

Given Input numbers are 983, 956, 735, 688

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

Divisors of 983 :

The positive integer divisors of 983 that completely divides 983 are.

1, 983

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (983, 956, 735, 688) = 1.

Given numbers are 983, 956, 735, 688

The list of prime factors of all numbers are

Prime factors of 983 are 983

Prime factors of 956 are 2 x 2 x 239

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 983, 956, 735, 688

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

Apply this formula for all numbers.

Step1:

LCM(983, 956) = 939748

GCD(983, 956) = ( 983 x 956 ) / 939748

= 983 / 956

= 983

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 983, 956, 735, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 674, 201, 138
• GCD of 293, 293, 462, 790
• GCD of 880, 424, 401, 719
• GCD of 337, 827, 690, 630
• GCD of 902, 865, 754, 428

Given numbers are 983, 956, 735, 688
The greatest common divisor of numbers 983, 956, 735, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 983, 956, 735, 688 is 1.

1. What is the GCD of 983, 956, 735, 688?

GCD of given numbers 983, 956, 735, 688 is 1

2. How to calculate the greatest common divisor of 983, 956, 735, 688?

We can find the highest common divisor of 983, 956, 735, 688 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 983, 956, 735, 688 i.e 1.

3. How can I use the GCD of 983, 956, 735, 688Calculator?

Out the numbers 983, 956, 735, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.