GCD of 280, 300, 948, 200 Calculator

Given Input numbers are 280, 300, 948, 200

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

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (280, 300, 948, 200) = 4.

Given numbers are 280, 300, 948, 200

The list of prime factors of all numbers are

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 280, 300, 948, 200 is 4.

Given numbers are 280, 300, 948, 200

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

Apply this formula for all numbers.

Step1:

LCM(280, 300) = 4200

GCD(280, 300) = ( 280 x 300 ) / 4200

= 280 / 300

= 280

Step2:

LCM(20, 948) = 4740

GCD(20, 948) = ( 20 x 948 ) / 4740

= 20 / 948

= 20

Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 280, 300, 948, 200 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 313, 893, 537
• GCD of 808, 637, 632, 945
• GCD of 984, 839, 678, 646
• GCD of 816, 831, 940, 499
• GCD of 555, 103, 134, 486

Given numbers are 280, 300, 948, 200
The greatest common divisor of numbers 280, 300, 948, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 300, 948, 200 is 4.

1. What is the GCD of 280, 300, 948, 200?

GCD of given numbers 280, 300, 948, 200 is 4

2. How to calculate the greatest common divisor of 280, 300, 948, 200?

We can find the highest common divisor of 280, 300, 948, 200 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 280, 300, 948, 200 i.e 4.

3. How can I use the GCD of 280, 300, 948, 200Calculator?

Out the numbers 280, 300, 948, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.