GCD of 980, 412, 448, 288 Calculator

Given Input numbers are 980, 412, 448, 288

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (980, 412, 448, 288) = 4.

Given numbers are 980, 412, 448, 288

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 412 are 2 x 2 x 103

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 980, 412, 448, 288 is 4.

Given numbers are 980, 412, 448, 288

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

Apply this formula for all numbers.

Step1:

LCM(980, 412) = 100940

GCD(980, 412) = ( 980 x 412 ) / 100940

= 980 / 412

= 980

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 980, 412, 448, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 590, 159, 379
• GCD of 826, 687, 649, 495
• GCD of 821, 184, 675, 358
• GCD of 329, 138, 644, 454
• GCD of 103, 880, 798, 221

Given numbers are 980, 412, 448, 288
The greatest common divisor of numbers 980, 412, 448, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 412, 448, 288 is 4.

1. What is the GCD of 980, 412, 448, 288?

GCD of given numbers 980, 412, 448, 288 is 4

2. How to calculate the greatest common divisor of 980, 412, 448, 288?

We can find the highest common divisor of 980, 412, 448, 288 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 980, 412, 448, 288 i.e 4.

3. How can I use the GCD of 980, 412, 448, 288Calculator?

Out the numbers 980, 412, 448, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.