GCD of 426, 652, 984, 974 Calculator

Given Input numbers are 426, 652, 984, 974

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (426, 652, 984, 974) = 2.

Given numbers are 426, 652, 984, 974

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 652 are 2 x 2 x 163

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 426, 652, 984, 974 is 2.

Given numbers are 426, 652, 984, 974

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

Apply this formula for all numbers.

Step1:

LCM(426, 652) = 138876

GCD(426, 652) = ( 426 x 652 ) / 138876

= 426 / 652

= 426

Step2:

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

= 2 / 984

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 426, 652, 984, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 126, 601, 794
• GCD of 843, 221, 376, 567
• GCD of 109, 739, 249, 396
• GCD of 380, 448, 953, 411
• GCD of 368, 607, 535, 194

Given numbers are 426, 652, 984, 974
The greatest common divisor of numbers 426, 652, 984, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 652, 984, 974 is 2.

1. What is the GCD of 426, 652, 984, 974?

GCD of given numbers 426, 652, 984, 974 is 2

2. How to calculate the greatest common divisor of 426, 652, 984, 974?

We can find the highest common divisor of 426, 652, 984, 974 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 426, 652, 984, 974 i.e 2.

3. How can I use the GCD of 426, 652, 984, 974Calculator?

Out the numbers 426, 652, 984, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.