GCD of 974, 350, 400 Calculator

Given Input numbers are 974, 350, 400

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

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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

GCD of numbers is the greatest common divisor

So, the GCD (974, 350, 400) = 2.

Given numbers are 974, 350, 400

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 350 are 2 x 5 x 5 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 974, 350, 400 is 2.

Given numbers are 974, 350, 400

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

Apply this formula for all numbers.

Step1:

LCM(974, 350) = 170450

GCD(974, 350) = ( 974 x 350 ) / 170450

= 974 / 350

= 974

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 974, 350, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 278, 160
• GCD of 656, 898, 143
• GCD of 603, 983, 901
• GCD of 985, 394, 348
• GCD of 254, 829, 312

Given numbers are 974, 350, 400
The greatest common divisor of numbers 974, 350, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 350, 400 is 2.

1. What is the GCD of 974, 350, 400?

GCD of given numbers 974, 350, 400 is 2

2. How to calculate the greatest common divisor of 974, 350, 400?

We can find the highest common divisor of 974, 350, 400 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 974, 350, 400 i.e 2.

3. How can I use the GCD of 974, 350, 400Calculator?

Out the numbers 974, 350, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.