GCD of 770, 280, 656, 270 Calculator

Given Input numbers are 770, 280, 656, 270

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

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (770, 280, 656, 270) = 2.

Given numbers are 770, 280, 656, 270

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 770, 280, 656, 270 is 2.

Given numbers are 770, 280, 656, 270

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

Apply this formula for all numbers.

Step1:

LCM(770, 280) = 3080

GCD(770, 280) = ( 770 x 280 ) / 3080

= 770 / 280

= 770

Step2:

LCM(70, 656) = 22960

GCD(70, 656) = ( 70 x 656 ) / 22960

= 70 / 656

= 70

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 770, 280, 656, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 962, 203, 346
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Given numbers are 770, 280, 656, 270
The greatest common divisor of numbers 770, 280, 656, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 280, 656, 270 is 2.

1. What is the GCD of 770, 280, 656, 270?

GCD of given numbers 770, 280, 656, 270 is 2

2. How to calculate the greatest common divisor of 770, 280, 656, 270?

We can find the highest common divisor of 770, 280, 656, 270 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 770, 280, 656, 270 i.e 2.

3. How can I use the GCD of 770, 280, 656, 270Calculator?

Out the numbers 770, 280, 656, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.