GCD of 921, 380, 705, 253 Calculator

Given Input numbers are 921, 380, 705, 253

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (921, 380, 705, 253) = 1.

Given numbers are 921, 380, 705, 253

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 705 are 3 x 5 x 47

Prime factors of 253 are 11 x 23

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

Given numbers are 921, 380, 705, 253

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

Apply this formula for all numbers.

Step1:

LCM(921, 380) = 349980

GCD(921, 380) = ( 921 x 380 ) / 349980

= 921 / 380

= 921

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 921, 380, 705, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 375, 766, 147
• GCD of 370, 886, 614, 671
• GCD of 679, 837, 930, 976
• GCD of 477, 166, 437, 290
• GCD of 662, 727, 718, 772

Given numbers are 921, 380, 705, 253
The greatest common divisor of numbers 921, 380, 705, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 380, 705, 253 is 1.

1. What is the GCD of 921, 380, 705, 253?

GCD of given numbers 921, 380, 705, 253 is 1

2. How to calculate the greatest common divisor of 921, 380, 705, 253?

We can find the highest common divisor of 921, 380, 705, 253 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 921, 380, 705, 253 i.e 1.

3. How can I use the GCD of 921, 380, 705, 253Calculator?

Out the numbers 921, 380, 705, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.