GCD of 392, 702, 504, 735 Calculator

Given Input numbers are 392, 702, 504, 735

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

GCD of numbers is the greatest common divisor

So, the GCD (392, 702, 504, 735) = 1.

Given numbers are 392, 702, 504, 735

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

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

Given numbers are 392, 702, 504, 735

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

Apply this formula for all numbers.

Step1:

LCM(392, 702) = 137592

GCD(392, 702) = ( 392 x 702 ) / 137592

= 392 / 702

= 392

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

So, Greatest Common Divisor of 392, 702, 504, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 692, 379, 885
• GCD of 354, 337, 117, 282
• GCD of 502, 768, 749, 385
• GCD of 974, 164, 422, 795
• GCD of 387, 687, 756, 605

Given numbers are 392, 702, 504, 735
The greatest common divisor of numbers 392, 702, 504, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 702, 504, 735 is 1.

1. What is the GCD of 392, 702, 504, 735?

GCD of given numbers 392, 702, 504, 735 is 1

2. How to calculate the greatest common divisor of 392, 702, 504, 735?

We can find the highest common divisor of 392, 702, 504, 735 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 392, 702, 504, 735 i.e 1.

3. How can I use the GCD of 392, 702, 504, 735Calculator?

Out the numbers 392, 702, 504, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.