GCD of 152, 532, 429, 109 Calculator

Given Input numbers are 152, 532, 429, 109

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 429 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (152, 532, 429, 109) = 1.

Given numbers are 152, 532, 429, 109

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 429 are 3 x 11 x 13

Prime factors of 109 are 109

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

Given numbers are 152, 532, 429, 109

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

Apply this formula for all numbers.

Step1:

LCM(152, 532) = 1064

GCD(152, 532) = ( 152 x 532 ) / 1064

= 152 / 532

= 152

Step2:

LCM(76, 429) = 32604

GCD(76, 429) = ( 76 x 429 ) / 32604

= 76 / 429

= 76

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 152, 532, 429, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 571, 804, 541
• GCD of 338, 385, 771, 865
• GCD of 382, 448, 803, 167
• GCD of 862, 718, 926, 909
• GCD of 814, 506, 788, 725

Given numbers are 152, 532, 429, 109
The greatest common divisor of numbers 152, 532, 429, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 532, 429, 109 is 1.

1. What is the GCD of 152, 532, 429, 109?

GCD of given numbers 152, 532, 429, 109 is 1

2. How to calculate the greatest common divisor of 152, 532, 429, 109?

We can find the highest common divisor of 152, 532, 429, 109 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 152, 532, 429, 109 i.e 1.

3. How can I use the GCD of 152, 532, 429, 109Calculator?

Out the numbers 152, 532, 429, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.