GCD of 920, 770, 738, 358 Calculator

Given Input numbers are 920, 770, 738, 358

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (920, 770, 738, 358) = 2.

Given numbers are 920, 770, 738, 358

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 920, 770, 738, 358 is 2.

Given numbers are 920, 770, 738, 358

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

Apply this formula for all numbers.

Step1:

LCM(920, 770) = 70840

GCD(920, 770) = ( 920 x 770 ) / 70840

= 920 / 770

= 920

Step2:

LCM(10, 738) = 3690

GCD(10, 738) = ( 10 x 738 ) / 3690

= 10 / 738

= 10

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 920, 770, 738, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 900, 236, 315
• GCD of 569, 992, 243, 898
• GCD of 501, 559, 695, 527
• GCD of 677, 968, 819, 574
• GCD of 106, 513, 633, 147

Given numbers are 920, 770, 738, 358
The greatest common divisor of numbers 920, 770, 738, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 770, 738, 358 is 2.

1. What is the GCD of 920, 770, 738, 358?

GCD of given numbers 920, 770, 738, 358 is 2

2. How to calculate the greatest common divisor of 920, 770, 738, 358?

We can find the highest common divisor of 920, 770, 738, 358 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 920, 770, 738, 358 i.e 2.

3. How can I use the GCD of 920, 770, 738, 358Calculator?

Out the numbers 920, 770, 738, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.