GCD of 378, 528, 988, 735 Calculator

Given Input numbers are 378, 528, 988, 735

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (378, 528, 988, 735) = 1.

Given numbers are 378, 528, 988, 735

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 988 are 2 x 2 x 13 x 19

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 378, 528, 988, 735

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

Apply this formula for all numbers.

Step1:

LCM(378, 528) = 33264

GCD(378, 528) = ( 378 x 528 ) / 33264

= 378 / 528

= 378

Step2:

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

= 6 / 988

= 6

Step3:

LCM(2, 735) = 1470

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

= 2 / 735

= 2

So, Greatest Common Divisor of 378, 528, 988, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 463, 194, 214
• GCD of 700, 715, 532, 558
• GCD of 374, 269, 257, 888
• GCD of 674, 395, 117, 976
• GCD of 560, 728, 724, 106

Given numbers are 378, 528, 988, 735
The greatest common divisor of numbers 378, 528, 988, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 528, 988, 735 is 1.

1. What is the GCD of 378, 528, 988, 735?

GCD of given numbers 378, 528, 988, 735 is 1

2. How to calculate the greatest common divisor of 378, 528, 988, 735?

We can find the highest common divisor of 378, 528, 988, 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 378, 528, 988, 735 i.e 1.

3. How can I use the GCD of 378, 528, 988, 735Calculator?

Out the numbers 378, 528, 988, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.