GCD of 120, 550, 914, 740 Calculator

Given Input numbers are 120, 550, 914, 740

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (120, 550, 914, 740) = 2.

Given numbers are 120, 550, 914, 740

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 914 are 2 x 457

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 120, 550, 914, 740 is 2.

Given numbers are 120, 550, 914, 740

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

Apply this formula for all numbers.

Step1:

LCM(120, 550) = 6600

GCD(120, 550) = ( 120 x 550 ) / 6600

= 120 / 550

= 120

Step2:

LCM(10, 914) = 4570

GCD(10, 914) = ( 10 x 914 ) / 4570

= 10 / 914

= 10

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 120, 550, 914, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 388, 549, 264
• GCD of 174, 479, 979, 797
• GCD of 372, 635, 790, 792
• GCD of 209, 160, 895, 572
• GCD of 222, 756, 558, 631

Given numbers are 120, 550, 914, 740
The greatest common divisor of numbers 120, 550, 914, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 550, 914, 740 is 2.

1. What is the GCD of 120, 550, 914, 740?

GCD of given numbers 120, 550, 914, 740 is 2

2. How to calculate the greatest common divisor of 120, 550, 914, 740?

We can find the highest common divisor of 120, 550, 914, 740 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 120, 550, 914, 740 i.e 2.

3. How can I use the GCD of 120, 550, 914, 740Calculator?

Out the numbers 120, 550, 914, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.