GCD of 274, 154, 637, 697 Calculator

Given Input numbers are 274, 154, 637, 697

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 697 :

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

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (274, 154, 637, 697) = 1.

Given numbers are 274, 154, 637, 697

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 154 are 2 x 7 x 11

Prime factors of 637 are 7 x 7 x 13

Prime factors of 697 are 17 x 41

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

Given numbers are 274, 154, 637, 697

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

Apply this formula for all numbers.

Step1:

LCM(274, 154) = 21098

GCD(274, 154) = ( 274 x 154 ) / 21098

= 274 / 154

= 274

Step2:

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

= 2 / 637

= 2

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 274, 154, 637, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 347, 398, 140
• GCD of 431, 985, 782, 605
• GCD of 848, 182, 102, 946
• GCD of 720, 786, 868, 848
• GCD of 878, 221, 985, 406

Given numbers are 274, 154, 637, 697
The greatest common divisor of numbers 274, 154, 637, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 154, 637, 697 is 1.

1. What is the GCD of 274, 154, 637, 697?

GCD of given numbers 274, 154, 637, 697 is 1

2. How to calculate the greatest common divisor of 274, 154, 637, 697?

We can find the highest common divisor of 274, 154, 637, 697 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 274, 154, 637, 697 i.e 1.

3. How can I use the GCD of 274, 154, 637, 697Calculator?

Out the numbers 274, 154, 637, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.