GCD of 980, 175, 228, 320 Calculator

Given Input numbers are 980, 175, 228, 320

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (980, 175, 228, 320) = 1.

Given numbers are 980, 175, 228, 320

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 175 are 5 x 5 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 980, 175, 228, 320

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

Apply this formula for all numbers.

Step1:

LCM(980, 175) = 4900

GCD(980, 175) = ( 980 x 175 ) / 4900

= 980 / 175

= 980

Step2:

LCM(35, 228) = 7980

GCD(35, 228) = ( 35 x 228 ) / 7980

= 35 / 228

= 35

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 980, 175, 228, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 563, 704, 794
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• GCD of 836, 572, 167, 304
• GCD of 105, 308, 450, 402
• GCD of 192, 321, 615, 888

Given numbers are 980, 175, 228, 320
The greatest common divisor of numbers 980, 175, 228, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 175, 228, 320 is 1.

1. What is the GCD of 980, 175, 228, 320?

GCD of given numbers 980, 175, 228, 320 is 1

2. How to calculate the greatest common divisor of 980, 175, 228, 320?

We can find the highest common divisor of 980, 175, 228, 320 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, 175, 228, 320 i.e 1.

3. How can I use the GCD of 980, 175, 228, 320Calculator?

Out the numbers 980, 175, 228, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.