GCD of 697, 748, 275, 278 Calculator

Given Input numbers are 697, 748, 275, 278

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (697, 748, 275, 278) = 1.

Given numbers are 697, 748, 275, 278

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 275 are 5 x 5 x 11

Prime factors of 278 are 2 x 139

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

Given numbers are 697, 748, 275, 278

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

Apply this formula for all numbers.

Step1:

LCM(697, 748) = 30668

GCD(697, 748) = ( 697 x 748 ) / 30668

= 697 / 748

= 697

Step2:

LCM(17, 275) = 4675

GCD(17, 275) = ( 17 x 275 ) / 4675

= 17 / 275

= 17

Step3:

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

= 1 / 278

= 1

So, Greatest Common Divisor of 697, 748, 275, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 208, 729, 558
• GCD of 535, 492, 364, 422
• GCD of 401, 210, 502, 695
• GCD of 165, 726, 866, 394
• GCD of 192, 861, 253, 213

Given numbers are 697, 748, 275, 278
The greatest common divisor of numbers 697, 748, 275, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 748, 275, 278 is 1.

1. What is the GCD of 697, 748, 275, 278?

GCD of given numbers 697, 748, 275, 278 is 1

2. How to calculate the greatest common divisor of 697, 748, 275, 278?

We can find the highest common divisor of 697, 748, 275, 278 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 697, 748, 275, 278 i.e 1.

3. How can I use the GCD of 697, 748, 275, 278Calculator?

Out the numbers 697, 748, 275, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.