GCD of 772, 674, 839, 109 Calculator

Given Input numbers are 772, 674, 839, 109

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

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (772, 674, 839, 109) = 1.

Given numbers are 772, 674, 839, 109

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 674 are 2 x 337

Prime factors of 839 are 839

Prime factors of 109 are 109

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

Given numbers are 772, 674, 839, 109

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

Apply this formula for all numbers.

Step1:

LCM(772, 674) = 260164

GCD(772, 674) = ( 772 x 674 ) / 260164

= 772 / 674

= 772

Step2:

LCM(2, 839) = 1678

GCD(2, 839) = ( 2 x 839 ) / 1678

= 2 / 839

= 2

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 772, 674, 839, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 748, 553, 906, 550
• GCD of 882, 861, 533, 903
• GCD of 648, 162, 381, 622
• GCD of 466, 639, 906, 915
• GCD of 871, 256, 267, 631

Given numbers are 772, 674, 839, 109
The greatest common divisor of numbers 772, 674, 839, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 674, 839, 109 is 1.

1. What is the GCD of 772, 674, 839, 109?

GCD of given numbers 772, 674, 839, 109 is 1

2. How to calculate the greatest common divisor of 772, 674, 839, 109?

We can find the highest common divisor of 772, 674, 839, 109 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 772, 674, 839, 109 i.e 1.

3. How can I use the GCD of 772, 674, 839, 109Calculator?

Out the numbers 772, 674, 839, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.