GCD of 280, 338, 508, 625 Calculator

Given Input numbers are 280, 338, 508, 625

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

GCD of numbers is the greatest common divisor

So, the GCD (280, 338, 508, 625) = 1.

Given numbers are 280, 338, 508, 625

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 338 are 2 x 13 x 13

Prime factors of 508 are 2 x 2 x 127

Prime factors of 625 are 5 x 5 x 5 x 5

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

Given numbers are 280, 338, 508, 625

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

Apply this formula for all numbers.

Step1:

LCM(280, 338) = 47320

GCD(280, 338) = ( 280 x 338 ) / 47320

= 280 / 338

= 280

Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

Step3:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2

So, Greatest Common Divisor of 280, 338, 508, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 170, 548, 139
• GCD of 273, 891, 281, 418
• GCD of 635, 230, 594, 281
• GCD of 730, 865, 853, 753
• GCD of 578, 773, 290, 418

Given numbers are 280, 338, 508, 625
The greatest common divisor of numbers 280, 338, 508, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 338, 508, 625 is 1.

1. What is the GCD of 280, 338, 508, 625?

GCD of given numbers 280, 338, 508, 625 is 1

2. How to calculate the greatest common divisor of 280, 338, 508, 625?

We can find the highest common divisor of 280, 338, 508, 625 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, 338, 508, 625 i.e 1.

3. How can I use the GCD of 280, 338, 508, 625Calculator?

Out the numbers 280, 338, 508, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.