GCD of 871, 792, 760, 772 Calculator

Given Input numbers are 871, 792, 760, 772

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (871, 792, 760, 772) = 1.

Given numbers are 871, 792, 760, 772

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 871, 792, 760, 772

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

Apply this formula for all numbers.

Step1:

LCM(871, 792) = 689832

GCD(871, 792) = ( 871 x 792 ) / 689832

= 871 / 792

= 871

Step2:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 871, 792, 760, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 367, 616, 457
• GCD of 321, 336, 157, 825
• GCD of 298, 215, 888, 952
• GCD of 917, 377, 374, 850
• GCD of 976, 399, 238, 157

Given numbers are 871, 792, 760, 772
The greatest common divisor of numbers 871, 792, 760, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 792, 760, 772 is 1.

1. What is the GCD of 871, 792, 760, 772?

GCD of given numbers 871, 792, 760, 772 is 1

2. How to calculate the greatest common divisor of 871, 792, 760, 772?

We can find the highest common divisor of 871, 792, 760, 772 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 871, 792, 760, 772 i.e 1.

3. How can I use the GCD of 871, 792, 760, 772Calculator?

Out the numbers 871, 792, 760, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.