GCD of 735, 311, 242, 490 Calculator

Given Input numbers are 735, 311, 242, 490

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (735, 311, 242, 490) = 1.

Given numbers are 735, 311, 242, 490

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 311 are 311

Prime factors of 242 are 2 x 11 x 11

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 735, 311, 242, 490

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

Apply this formula for all numbers.

Step1:

LCM(735, 311) = 228585

GCD(735, 311) = ( 735 x 311 ) / 228585

= 735 / 311

= 735

Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 735, 311, 242, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 407, 773, 697
• GCD of 252, 294, 240, 201
• GCD of 365, 520, 827, 445
• GCD of 893, 723, 563, 862
• GCD of 467, 164, 305, 636

Given numbers are 735, 311, 242, 490
The greatest common divisor of numbers 735, 311, 242, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 311, 242, 490 is 1.

1. What is the GCD of 735, 311, 242, 490?

GCD of given numbers 735, 311, 242, 490 is 1

2. How to calculate the greatest common divisor of 735, 311, 242, 490?

We can find the highest common divisor of 735, 311, 242, 490 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 735, 311, 242, 490 i.e 1.

3. How can I use the GCD of 735, 311, 242, 490Calculator?

Out the numbers 735, 311, 242, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.