GCD of 105, 980, 797, 432 Calculator

Given Input numbers are 105, 980, 797, 432

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (105, 980, 797, 432) = 1.

Given numbers are 105, 980, 797, 432

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 797 are 797

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 105, 980, 797, 432

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

Apply this formula for all numbers.

Step1:

LCM(105, 980) = 2940

GCD(105, 980) = ( 105 x 980 ) / 2940

= 105 / 980

= 105

Step2:

LCM(35, 797) = 27895

GCD(35, 797) = ( 35 x 797 ) / 27895

= 35 / 797

= 35

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 105, 980, 797, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 110, 940, 824
• GCD of 738, 373, 404, 219
• GCD of 954, 928, 210, 823
• GCD of 407, 789, 191, 491
• GCD of 210, 656, 508, 210

Given numbers are 105, 980, 797, 432
The greatest common divisor of numbers 105, 980, 797, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 980, 797, 432 is 1.

1. What is the GCD of 105, 980, 797, 432?

GCD of given numbers 105, 980, 797, 432 is 1

2. How to calculate the greatest common divisor of 105, 980, 797, 432?

We can find the highest common divisor of 105, 980, 797, 432 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 105, 980, 797, 432 i.e 1.

3. How can I use the GCD of 105, 980, 797, 432Calculator?

Out the numbers 105, 980, 797, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.