GCD of 470, 770, 40, 290 Calculator

Given Input numbers are 470, 770, 40, 290

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (470, 770, 40, 290) = 10.

Given numbers are 470, 770, 40, 290

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

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

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 470, 770, 40, 290 is 10.

Given numbers are 470, 770, 40, 290

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

Apply this formula for all numbers.

Step1:

LCM(470, 770) = 36190

GCD(470, 770) = ( 470 x 770 ) / 36190

= 470 / 770

= 470

Step2:

LCM(10, 40) = 40

GCD(10, 40) = ( 10 x 40 ) / 40

= 10 / 40

= 10

Step3:

LCM(10, 290) = 290

GCD(10, 290) = ( 10 x 290 ) / 290

= 10 / 290

= 10

So, Greatest Common Divisor of 470, 770, 40, 290 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 188, 91, 248
• GCD of 315, 656, 76, 378
• GCD of 293, 871, 31, 751
• GCD of 248, 895, 25, 164
• GCD of 741, 929, 62, 229

Given numbers are 470, 770, 40, 290
The greatest common divisor of numbers 470, 770, 40, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 770, 40, 290 is 10.

1. What is the GCD of 470, 770, 40, 290?

GCD of given numbers 470, 770, 40, 290 is 10

2. How to calculate the greatest common divisor of 470, 770, 40, 290?

We can find the highest common divisor of 470, 770, 40, 290 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 470, 770, 40, 290 i.e 10.

3. How can I use the GCD of 470, 770, 40, 290Calculator?

Out the numbers 470, 770, 40, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.