GCD of 429, 705, 742, 647 Calculator

Given Input numbers are 429, 705, 742, 647

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 742 :

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

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

Divisors of 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647

GCD of numbers is the greatest common divisor

So, the GCD (429, 705, 742, 647) = 1.

Given numbers are 429, 705, 742, 647

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 705 are 3 x 5 x 47

Prime factors of 742 are 2 x 7 x 53

Prime factors of 647 are 647

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

Given numbers are 429, 705, 742, 647

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

Apply this formula for all numbers.

Step1:

LCM(429, 705) = 100815

GCD(429, 705) = ( 429 x 705 ) / 100815

= 429 / 705

= 429

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

= 1 / 647

= 1

So, Greatest Common Divisor of 429, 705, 742, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 517, 918, 271
• GCD of 222, 774, 826, 672
• GCD of 538, 376, 805, 119
• GCD of 952, 141, 546, 121
• GCD of 553, 186, 844, 685

Given numbers are 429, 705, 742, 647
The greatest common divisor of numbers 429, 705, 742, 647 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 705, 742, 647 is 1.

1. What is the GCD of 429, 705, 742, 647?

GCD of given numbers 429, 705, 742, 647 is 1

2. How to calculate the greatest common divisor of 429, 705, 742, 647?

We can find the highest common divisor of 429, 705, 742, 647 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 429, 705, 742, 647 i.e 1.

3. How can I use the GCD of 429, 705, 742, 647Calculator?

Out the numbers 429, 705, 742, 647 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.