GCD of 400, 280, 844, 954 Calculator

Given Input numbers are 400, 280, 844, 954

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

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (400, 280, 844, 954) = 2.

Given numbers are 400, 280, 844, 954

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 844 are 2 x 2 x 211

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 400, 280, 844, 954 is 2.

Given numbers are 400, 280, 844, 954

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

Apply this formula for all numbers.

Step1:

LCM(400, 280) = 2800

GCD(400, 280) = ( 400 x 280 ) / 2800

= 400 / 280

= 400

Step2:

LCM(40, 844) = 8440

GCD(40, 844) = ( 40 x 844 ) / 8440

= 40 / 844

= 40

Step3:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4

So, Greatest Common Divisor of 400, 280, 844, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 393, 171, 320
• GCD of 400, 767, 541, 595
• GCD of 783, 345, 184, 445
• GCD of 896, 841, 569, 671
• GCD of 781, 586, 333, 550

Given numbers are 400, 280, 844, 954
The greatest common divisor of numbers 400, 280, 844, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 280, 844, 954 is 2.

1. What is the GCD of 400, 280, 844, 954?

GCD of given numbers 400, 280, 844, 954 is 2

2. How to calculate the greatest common divisor of 400, 280, 844, 954?

We can find the highest common divisor of 400, 280, 844, 954 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 400, 280, 844, 954 i.e 2.

3. How can I use the GCD of 400, 280, 844, 954Calculator?

Out the numbers 400, 280, 844, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.