GCD of 278, 969, 972, 429 Calculator

Given Input numbers are 278, 969, 972, 429

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 429 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (278, 969, 972, 429) = 1.

Given numbers are 278, 969, 972, 429

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 969 are 3 x 17 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 278, 969, 972, 429

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

Apply this formula for all numbers.

Step1:

LCM(278, 969) = 269382

GCD(278, 969) = ( 278 x 969 ) / 269382

= 278 / 969

= 278

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

So, Greatest Common Divisor of 278, 969, 972, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 407, 918, 749
• GCD of 485, 520, 811, 411
• GCD of 357, 187, 661, 940
• GCD of 501, 952, 386, 679
• GCD of 104, 229, 449, 561

Given numbers are 278, 969, 972, 429
The greatest common divisor of numbers 278, 969, 972, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 969, 972, 429 is 1.

1. What is the GCD of 278, 969, 972, 429?

GCD of given numbers 278, 969, 972, 429 is 1

2. How to calculate the greatest common divisor of 278, 969, 972, 429?

We can find the highest common divisor of 278, 969, 972, 429 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 278, 969, 972, 429 i.e 1.

3. How can I use the GCD of 278, 969, 972, 429Calculator?

Out the numbers 278, 969, 972, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.