GCD of 461, 447, 138, 735 Calculator

Given Input numbers are 461, 447, 138, 735

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

Divisors of 461 :

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

1, 461

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

GCD of numbers is the greatest common divisor

So, the GCD (461, 447, 138, 735) = 1.

Given numbers are 461, 447, 138, 735

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 447 are 3 x 149

Prime factors of 138 are 2 x 3 x 23

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

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

Given numbers are 461, 447, 138, 735

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

Apply this formula for all numbers.

Step1:

LCM(461, 447) = 206067

GCD(461, 447) = ( 461 x 447 ) / 206067

= 461 / 447

= 461

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 461, 447, 138, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 617, 745, 876
• GCD of 342, 944, 444, 696
• GCD of 856, 427, 590, 421
• GCD of 501, 877, 162, 127
• GCD of 305, 775, 788, 106

Given numbers are 461, 447, 138, 735
The greatest common divisor of numbers 461, 447, 138, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 447, 138, 735 is 1.

1. What is the GCD of 461, 447, 138, 735?

GCD of given numbers 461, 447, 138, 735 is 1

2. How to calculate the greatest common divisor of 461, 447, 138, 735?

We can find the highest common divisor of 461, 447, 138, 735 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 461, 447, 138, 735 i.e 1.

3. How can I use the GCD of 461, 447, 138, 735Calculator?

Out the numbers 461, 447, 138, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.