GCD of 378, 196, 689, 753 Calculator

Given Input numbers are 378, 196, 689, 753

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (378, 196, 689, 753) = 1.

Given numbers are 378, 196, 689, 753

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 196 are 2 x 2 x 7 x 7

Prime factors of 689 are 13 x 53

Prime factors of 753 are 3 x 251

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

Given numbers are 378, 196, 689, 753

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

Apply this formula for all numbers.

Step1:

LCM(378, 196) = 5292

GCD(378, 196) = ( 378 x 196 ) / 5292

= 378 / 196

= 378

Step2:

LCM(14, 689) = 9646

GCD(14, 689) = ( 14 x 689 ) / 9646

= 14 / 689

= 14

Step3:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1

So, Greatest Common Divisor of 378, 196, 689, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 513, 237, 477
• GCD of 848, 911, 257, 308
• GCD of 981, 319, 962, 181
• GCD of 841, 274, 588, 494
• GCD of 170, 905, 199, 991

Given numbers are 378, 196, 689, 753
The greatest common divisor of numbers 378, 196, 689, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 196, 689, 753 is 1.

1. What is the GCD of 378, 196, 689, 753?

GCD of given numbers 378, 196, 689, 753 is 1

2. How to calculate the greatest common divisor of 378, 196, 689, 753?

We can find the highest common divisor of 378, 196, 689, 753 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, 196, 689, 753 i.e 1.

3. How can I use the GCD of 378, 196, 689, 753Calculator?

Out the numbers 378, 196, 689, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.