GCD of 704, 674, 735, 378 Calculator

Given Input numbers are 704, 674, 735, 378

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 674 :

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

1, 2, 337, 674

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 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

GCD of numbers is the greatest common divisor

So, the GCD (704, 674, 735, 378) = 1.

Given numbers are 704, 674, 735, 378

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 674 are 2 x 337

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

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

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

Given numbers are 704, 674, 735, 378

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

Apply this formula for all numbers.

Step1:

LCM(704, 674) = 237248

GCD(704, 674) = ( 704 x 674 ) / 237248

= 704 / 674

= 704

Step2:

LCM(2, 735) = 1470

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

= 2 / 735

= 2

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 704, 674, 735, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 876, 959, 581
• GCD of 361, 206, 210, 384
• GCD of 996, 471, 136, 456
• GCD of 156, 650, 752, 585
• GCD of 444, 781, 475, 474

Given numbers are 704, 674, 735, 378
The greatest common divisor of numbers 704, 674, 735, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 674, 735, 378 is 1.

1. What is the GCD of 704, 674, 735, 378?

GCD of given numbers 704, 674, 735, 378 is 1

2. How to calculate the greatest common divisor of 704, 674, 735, 378?

We can find the highest common divisor of 704, 674, 735, 378 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 704, 674, 735, 378 i.e 1.

3. How can I use the GCD of 704, 674, 735, 378Calculator?

Out the numbers 704, 674, 735, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.