GCD of 742, 465, 755, 461 Calculator

Given Input numbers are 742, 465, 755, 461

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 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

GCD of numbers is the greatest common divisor

So, the GCD (742, 465, 755, 461) = 1.

Given numbers are 742, 465, 755, 461

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 465 are 3 x 5 x 31

Prime factors of 755 are 5 x 151

Prime factors of 461 are 461

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

Given numbers are 742, 465, 755, 461

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

Apply this formula for all numbers.

Step1:

LCM(742, 465) = 345030

GCD(742, 465) = ( 742 x 465 ) / 345030

= 742 / 465

= 742

Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1

Step3:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

So, Greatest Common Divisor of 742, 465, 755, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 803, 479, 467
• GCD of 445, 269, 234, 131
• GCD of 133, 519, 119, 170
• GCD of 852, 466, 179, 676
• GCD of 402, 342, 921, 335

Given numbers are 742, 465, 755, 461
The greatest common divisor of numbers 742, 465, 755, 461 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 465, 755, 461 is 1.

1. What is the GCD of 742, 465, 755, 461?

GCD of given numbers 742, 465, 755, 461 is 1

2. How to calculate the greatest common divisor of 742, 465, 755, 461?

We can find the highest common divisor of 742, 465, 755, 461 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, 465, 755, 461 i.e 1.

3. How can I use the GCD of 742, 465, 755, 461Calculator?

Out the numbers 742, 465, 755, 461 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.