GCD of 826, 120, 74, 964 Calculator

Given Input numbers are 826, 120, 74, 964

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (826, 120, 74, 964) = 2.

Given numbers are 826, 120, 74, 964

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 74 are 2 x 37

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 826, 120, 74, 964 is 2.

Given numbers are 826, 120, 74, 964

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

Apply this formula for all numbers.

Step1:

LCM(826, 120) = 49560

GCD(826, 120) = ( 826 x 120 ) / 49560

= 826 / 120

= 826

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 826, 120, 74, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 269, 88, 903
• GCD of 553, 403, 97, 387
• GCD of 245, 991, 67, 362
• GCD of 614, 323, 66, 707
• GCD of 336, 612, 88, 300

Given numbers are 826, 120, 74, 964
The greatest common divisor of numbers 826, 120, 74, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 120, 74, 964 is 2.

1. What is the GCD of 826, 120, 74, 964?

GCD of given numbers 826, 120, 74, 964 is 2

2. How to calculate the greatest common divisor of 826, 120, 74, 964?

We can find the highest common divisor of 826, 120, 74, 964 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 826, 120, 74, 964 i.e 2.

3. How can I use the GCD of 826, 120, 74, 964Calculator?

Out the numbers 826, 120, 74, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.