GCD of 429, 507, 419, 948 Calculator

Given Input numbers are 429, 507, 419, 948

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 419 :

The positive integer divisors of 419 that completely divides 419 are.

1, 419

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (429, 507, 419, 948) = 1.

Given numbers are 429, 507, 419, 948

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 507 are 3 x 13 x 13

Prime factors of 419 are 419

Prime factors of 948 are 2 x 2 x 3 x 79

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

Given numbers are 429, 507, 419, 948

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

Apply this formula for all numbers.

Step1:

LCM(429, 507) = 5577

GCD(429, 507) = ( 429 x 507 ) / 5577

= 429 / 507

= 429

Step2:

LCM(39, 419) = 16341

GCD(39, 419) = ( 39 x 419 ) / 16341

= 39 / 419

= 39

Step3:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

So, Greatest Common Divisor of 429, 507, 419, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 696, 409, 802
• GCD of 172, 123, 751, 953
• GCD of 470, 671, 348, 688
• GCD of 981, 718, 347, 166
• GCD of 993, 172, 837, 571

Given numbers are 429, 507, 419, 948
The greatest common divisor of numbers 429, 507, 419, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 507, 419, 948 is 1.

1. What is the GCD of 429, 507, 419, 948?

GCD of given numbers 429, 507, 419, 948 is 1

2. How to calculate the greatest common divisor of 429, 507, 419, 948?

We can find the highest common divisor of 429, 507, 419, 948 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, 507, 419, 948 i.e 1.

3. How can I use the GCD of 429, 507, 419, 948Calculator?

Out the numbers 429, 507, 419, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.