GCD of 280, 428, 298, 952 Calculator

Given Input numbers are 280, 428, 298, 952

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

GCD of numbers is the greatest common divisor

So, the GCD (280, 428, 298, 952) = 2.

Given numbers are 280, 428, 298, 952

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 428 are 2 x 2 x 107

Prime factors of 298 are 2 x 149

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 280, 428, 298, 952 is 2.

Given numbers are 280, 428, 298, 952

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

Apply this formula for all numbers.

Step1:

LCM(280, 428) = 29960

GCD(280, 428) = ( 280 x 428 ) / 29960

= 280 / 428

= 280

Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

Step3:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

So, Greatest Common Divisor of 280, 428, 298, 952 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 330, 289, 429
• GCD of 810, 585, 461, 930
• GCD of 986, 949, 164, 731
• GCD of 515, 990, 210, 752
• GCD of 561, 333, 251, 462

Given numbers are 280, 428, 298, 952
The greatest common divisor of numbers 280, 428, 298, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 428, 298, 952 is 2.

1. What is the GCD of 280, 428, 298, 952?

GCD of given numbers 280, 428, 298, 952 is 2

2. How to calculate the greatest common divisor of 280, 428, 298, 952?

We can find the highest common divisor of 280, 428, 298, 952 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, 428, 298, 952 i.e 2.

3. How can I use the GCD of 280, 428, 298, 952Calculator?

Out the numbers 280, 428, 298, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.