GCD of 838, 760, 753, 953 Calculator

Given Input numbers are 838, 760, 753, 953

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (838, 760, 753, 953) = 1.

Given numbers are 838, 760, 753, 953

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 753 are 3 x 251

Prime factors of 953 are 953

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

Given numbers are 838, 760, 753, 953

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

Apply this formula for all numbers.

Step1:

LCM(838, 760) = 318440

GCD(838, 760) = ( 838 x 760 ) / 318440

= 838 / 760

= 838

Step2:

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

= 2 / 753

= 2

Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

So, Greatest Common Divisor of 838, 760, 753, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 437, 369, 165
• GCD of 920, 166, 391, 906
• GCD of 757, 892, 335, 907
• GCD of 415, 210, 336, 664
• GCD of 205, 607, 456, 879

Given numbers are 838, 760, 753, 953
The greatest common divisor of numbers 838, 760, 753, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 760, 753, 953 is 1.

1. What is the GCD of 838, 760, 753, 953?

GCD of given numbers 838, 760, 753, 953 is 1

2. How to calculate the greatest common divisor of 838, 760, 753, 953?

We can find the highest common divisor of 838, 760, 753, 953 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 838, 760, 753, 953 i.e 1.

3. How can I use the GCD of 838, 760, 753, 953Calculator?

Out the numbers 838, 760, 753, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.