GCD of 260, 408, 400, 974 Calculator

Given Input numbers are 260, 408, 400, 974

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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 (260, 408, 400, 974) = 2.

Given numbers are 260, 408, 400, 974

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 260, 408, 400, 974 is 2.

Given numbers are 260, 408, 400, 974

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

Apply this formula for all numbers.

Step1:

LCM(260, 408) = 26520

GCD(260, 408) = ( 260 x 408 ) / 26520

= 260 / 408

= 260

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

Step3:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

So, Greatest Common Divisor of 260, 408, 400, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 434, 332, 134
• GCD of 182, 974, 254, 125
• GCD of 169, 324, 464, 600
• GCD of 472, 289, 595, 631
• GCD of 825, 584, 875, 962

Given numbers are 260, 408, 400, 974
The greatest common divisor of numbers 260, 408, 400, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 408, 400, 974 is 2.

1. What is the GCD of 260, 408, 400, 974?

GCD of given numbers 260, 408, 400, 974 is 2

2. How to calculate the greatest common divisor of 260, 408, 400, 974?

We can find the highest common divisor of 260, 408, 400, 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 260, 408, 400, 974 i.e 2.

3. How can I use the GCD of 260, 408, 400, 974Calculator?

Out the numbers 260, 408, 400, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.