GCD of 655, 700, 385, 740 Calculator

Given Input numbers are 655, 700, 385, 740

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

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 (655, 700, 385, 740) = 5.

Given numbers are 655, 700, 385, 740

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 385 are 5 x 7 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 655, 700, 385, 740 is 5.

Given numbers are 655, 700, 385, 740

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

Apply this formula for all numbers.

Step1:

LCM(655, 700) = 91700

GCD(655, 700) = ( 655 x 700 ) / 91700

= 655 / 700

= 655

Step2:

LCM(5, 385) = 385

GCD(5, 385) = ( 5 x 385 ) / 385

= 5 / 385

= 5

Step3:

LCM(5, 740) = 740

GCD(5, 740) = ( 5 x 740 ) / 740

= 5 / 740

= 5

So, Greatest Common Divisor of 655, 700, 385, 740 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 719, 783, 112
• GCD of 557, 549, 910, 120
• GCD of 800, 258, 680, 431
• GCD of 282, 242, 350, 351
• GCD of 281, 876, 386, 421

Given numbers are 655, 700, 385, 740
The greatest common divisor of numbers 655, 700, 385, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 700, 385, 740 is 5.

1. What is the GCD of 655, 700, 385, 740?

GCD of given numbers 655, 700, 385, 740 is 5

2. How to calculate the greatest common divisor of 655, 700, 385, 740?

We can find the highest common divisor of 655, 700, 385, 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 655, 700, 385, 740 i.e 5.

3. How can I use the GCD of 655, 700, 385, 740Calculator?

Out the numbers 655, 700, 385, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.