GCD of 429, 644, 772, 101 Calculator

Given Input numbers are 429, 644, 772, 101

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

GCD of numbers is the greatest common divisor

So, the GCD (429, 644, 772, 101) = 1.

Given numbers are 429, 644, 772, 101

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 772 are 2 x 2 x 193

Prime factors of 101 are 101

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

Given numbers are 429, 644, 772, 101

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

Apply this formula for all numbers.

Step1:

LCM(429, 644) = 276276

GCD(429, 644) = ( 429 x 644 ) / 276276

= 429 / 644

= 429

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1

So, Greatest Common Divisor of 429, 644, 772, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 965, 975, 896
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• GCD of 441, 823, 759, 551
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• GCD of 863, 510, 705, 123

Given numbers are 429, 644, 772, 101
The greatest common divisor of numbers 429, 644, 772, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 644, 772, 101 is 1.

1. What is the GCD of 429, 644, 772, 101?

GCD of given numbers 429, 644, 772, 101 is 1

2. How to calculate the greatest common divisor of 429, 644, 772, 101?

We can find the highest common divisor of 429, 644, 772, 101 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, 644, 772, 101 i.e 1.

3. How can I use the GCD of 429, 644, 772, 101Calculator?

Out the numbers 429, 644, 772, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.