GCD of 464, 544, 690, 735 Calculator

Given Input numbers are 464, 544, 690, 735

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 (464, 544, 690, 735) = 1.

Given numbers are 464, 544, 690, 735

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 690 are 2 x 3 x 5 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 464, 544, 690, 735

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

Apply this formula for all numbers.

Step1:

LCM(464, 544) = 15776

GCD(464, 544) = ( 464 x 544 ) / 15776

= 464 / 544

= 464

Step2:

LCM(16, 690) = 5520

GCD(16, 690) = ( 16 x 690 ) / 5520

= 16 / 690

= 16

Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

So, Greatest Common Divisor of 464, 544, 690, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 778, 701, 948
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Given numbers are 464, 544, 690, 735
The greatest common divisor of numbers 464, 544, 690, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 544, 690, 735 is 1.

1. What is the GCD of 464, 544, 690, 735?

GCD of given numbers 464, 544, 690, 735 is 1

2. How to calculate the greatest common divisor of 464, 544, 690, 735?

We can find the highest common divisor of 464, 544, 690, 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 464, 544, 690, 735 i.e 1.

3. How can I use the GCD of 464, 544, 690, 735Calculator?

Out the numbers 464, 544, 690, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.