GCD of 370, 584, 750, 154 Calculator

Given Input numbers are 370, 584, 750, 154

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (370, 584, 750, 154) = 2.

Given numbers are 370, 584, 750, 154

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 370, 584, 750, 154 is 2.

Given numbers are 370, 584, 750, 154

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

Apply this formula for all numbers.

Step1:

LCM(370, 584) = 108040

GCD(370, 584) = ( 370 x 584 ) / 108040

= 370 / 584

= 370

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

So, Greatest Common Divisor of 370, 584, 750, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 989, 685, 517
• GCD of 433, 359, 557, 364
• GCD of 476, 187, 509, 217
• GCD of 206, 998, 294, 697
• GCD of 400, 616, 107, 543

Given numbers are 370, 584, 750, 154
The greatest common divisor of numbers 370, 584, 750, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 584, 750, 154 is 2.

1. What is the GCD of 370, 584, 750, 154?

GCD of given numbers 370, 584, 750, 154 is 2

2. How to calculate the greatest common divisor of 370, 584, 750, 154?

We can find the highest common divisor of 370, 584, 750, 154 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 370, 584, 750, 154 i.e 2.

3. How can I use the GCD of 370, 584, 750, 154Calculator?

Out the numbers 370, 584, 750, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.