GCD of 996, 497, 735, 674 Calculator

Given Input numbers are 996, 497, 735, 674

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (996, 497, 735, 674) = 1.

Given numbers are 996, 497, 735, 674

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 497 are 7 x 71

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

Prime factors of 674 are 2 x 337

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

Given numbers are 996, 497, 735, 674

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

Apply this formula for all numbers.

Step1:

LCM(996, 497) = 495012

GCD(996, 497) = ( 996 x 497 ) / 495012

= 996 / 497

= 996

Step2:

LCM(1, 735) = 735

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

= 1 / 735

= 1

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 996, 497, 735, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 887, 805, 222
• GCD of 579, 628, 414, 732
• GCD of 730, 598, 404, 795
• GCD of 388, 536, 213, 593
• GCD of 596, 560, 491, 995

Given numbers are 996, 497, 735, 674
The greatest common divisor of numbers 996, 497, 735, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 497, 735, 674 is 1.

1. What is the GCD of 996, 497, 735, 674?

GCD of given numbers 996, 497, 735, 674 is 1

2. How to calculate the greatest common divisor of 996, 497, 735, 674?

We can find the highest common divisor of 996, 497, 735, 674 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 996, 497, 735, 674 i.e 1.

3. How can I use the GCD of 996, 497, 735, 674Calculator?

Out the numbers 996, 497, 735, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.