GCD of 278, 674, 478, 624 Calculator

Given Input numbers are 278, 674, 478, 624

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (278, 674, 478, 624) = 2.

Given numbers are 278, 674, 478, 624

The list of prime factors of all numbers are

Prime factors of 278 are 2 x 139

Prime factors of 674 are 2 x 337

Prime factors of 478 are 2 x 239

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 278, 674, 478, 624 is 2.

Given numbers are 278, 674, 478, 624

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

Apply this formula for all numbers.

Step1:

LCM(278, 674) = 93686

GCD(278, 674) = ( 278 x 674 ) / 93686

= 278 / 674

= 278

Step2:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 278, 674, 478, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 896, 619, 172
• GCD of 256, 172, 775, 344
• GCD of 635, 220, 412, 773
• GCD of 640, 110, 438, 530
• GCD of 995, 831, 315, 201

Given numbers are 278, 674, 478, 624
The greatest common divisor of numbers 278, 674, 478, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 278, 674, 478, 624 is 2.

1. What is the GCD of 278, 674, 478, 624?

GCD of given numbers 278, 674, 478, 624 is 2

2. How to calculate the greatest common divisor of 278, 674, 478, 624?

We can find the highest common divisor of 278, 674, 478, 624 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, 674, 478, 624 i.e 2.

3. How can I use the GCD of 278, 674, 478, 624Calculator?

Out the numbers 278, 674, 478, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.