GCD of 278, 508, 867, 137 Calculator

Given Input numbers are 278, 508, 867, 137

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

GCD of numbers is the greatest common divisor

So, the GCD (278, 508, 867, 137) = 1.

Given numbers are 278, 508, 867, 137

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 508 are 2 x 2 x 127

Prime factors of 867 are 3 x 17 x 17

Prime factors of 137 are 137

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

Given numbers are 278, 508, 867, 137

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

Apply this formula for all numbers.

Step1:

LCM(278, 508) = 70612

GCD(278, 508) = ( 278 x 508 ) / 70612

= 278 / 508

= 278

Step2:

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

= 2 / 867

= 2

Step3:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

So, Greatest Common Divisor of 278, 508, 867, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 798, 678, 677
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Given numbers are 278, 508, 867, 137
The greatest common divisor of numbers 278, 508, 867, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 508, 867, 137 is 1.

1. What is the GCD of 278, 508, 867, 137?

GCD of given numbers 278, 508, 867, 137 is 1

2. How to calculate the greatest common divisor of 278, 508, 867, 137?

We can find the highest common divisor of 278, 508, 867, 137 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 278, 508, 867, 137 i.e 1.

3. How can I use the GCD of 278, 508, 867, 137Calculator?

Out the numbers 278, 508, 867, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.