GCD of 700, 560, 355, 440 Calculator

Given Input numbers are 700, 560, 355, 440

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

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (700, 560, 355, 440) = 5.

Given numbers are 700, 560, 355, 440

The list of prime factors of all numbers are

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 355 are 5 x 71

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 700, 560, 355, 440 is 5.

Given numbers are 700, 560, 355, 440

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

Apply this formula for all numbers.

Step1:

LCM(700, 560) = 2800

GCD(700, 560) = ( 700 x 560 ) / 2800

= 700 / 560

= 700

Step2:

LCM(140, 355) = 9940

GCD(140, 355) = ( 140 x 355 ) / 9940

= 140 / 355

= 140

Step3:

LCM(5, 440) = 440

GCD(5, 440) = ( 5 x 440 ) / 440

= 5 / 440

= 5

So, Greatest Common Divisor of 700, 560, 355, 440 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 322, 327, 284
• GCD of 726, 843, 653, 958
• GCD of 120, 393, 172, 946
• GCD of 317, 474, 639, 933
• GCD of 624, 189, 986, 365

Given numbers are 700, 560, 355, 440
The greatest common divisor of numbers 700, 560, 355, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 560, 355, 440 is 5.

1. What is the GCD of 700, 560, 355, 440?

GCD of given numbers 700, 560, 355, 440 is 5

2. How to calculate the greatest common divisor of 700, 560, 355, 440?

We can find the highest common divisor of 700, 560, 355, 440 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 700, 560, 355, 440 i.e 5.

3. How can I use the GCD of 700, 560, 355, 440Calculator?

Out the numbers 700, 560, 355, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.