GCD of 274, 973, 528, 742 Calculator

Given Input numbers are 274, 973, 528, 742

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 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (274, 973, 528, 742) = 1.

Given numbers are 274, 973, 528, 742

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 973 are 7 x 139

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

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 274, 973, 528, 742

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

Apply this formula for all numbers.

Step1:

LCM(274, 973) = 266602

GCD(274, 973) = ( 274 x 973 ) / 266602

= 274 / 973

= 274

Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 274, 973, 528, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 322, 153, 278
• GCD of 891, 783, 308, 154
• GCD of 657, 596, 116, 203
• GCD of 713, 426, 975, 337
• GCD of 813, 815, 200, 848

Given numbers are 274, 973, 528, 742
The greatest common divisor of numbers 274, 973, 528, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 973, 528, 742 is 1.

1. What is the GCD of 274, 973, 528, 742?

GCD of given numbers 274, 973, 528, 742 is 1

2. How to calculate the greatest common divisor of 274, 973, 528, 742?

We can find the highest common divisor of 274, 973, 528, 742 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, 973, 528, 742 i.e 1.

3. How can I use the GCD of 274, 973, 528, 742Calculator?

Out the numbers 274, 973, 528, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.