GCD of 742, 662, 235, 253 Calculator

Given Input numbers are 742, 662, 235, 253

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

Divisors of 742 :

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

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

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (742, 662, 235, 253) = 1.

Given numbers are 742, 662, 235, 253

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 662 are 2 x 331

Prime factors of 235 are 5 x 47

Prime factors of 253 are 11 x 23

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

Given numbers are 742, 662, 235, 253

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

Apply this formula for all numbers.

Step1:

LCM(742, 662) = 245602

GCD(742, 662) = ( 742 x 662 ) / 245602

= 742 / 662

= 742

Step2:

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

= 2 / 235

= 2

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 742, 662, 235, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 672, 770, 523
• GCD of 983, 507, 984, 211
• GCD of 934, 157, 816, 917
• GCD of 945, 640, 570, 222
• GCD of 367, 679, 141, 346

Given numbers are 742, 662, 235, 253
The greatest common divisor of numbers 742, 662, 235, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 662, 235, 253 is 1.

1. What is the GCD of 742, 662, 235, 253?

GCD of given numbers 742, 662, 235, 253 is 1

2. How to calculate the greatest common divisor of 742, 662, 235, 253?

We can find the highest common divisor of 742, 662, 235, 253 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 742, 662, 235, 253 i.e 1.

3. How can I use the GCD of 742, 662, 235, 253Calculator?

Out the numbers 742, 662, 235, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.