GCD of 280, 742, 844, 660 Calculator

Given Input numbers are 280, 742, 844, 660

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

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (280, 742, 844, 660) = 2.

Given numbers are 280, 742, 844, 660

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 844 are 2 x 2 x 211

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 280, 742, 844, 660 is 2.

Given numbers are 280, 742, 844, 660

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

Apply this formula for all numbers.

Step1:

LCM(280, 742) = 14840

GCD(280, 742) = ( 280 x 742 ) / 14840

= 280 / 742

= 280

Step2:

LCM(14, 844) = 5908

GCD(14, 844) = ( 14 x 844 ) / 5908

= 14 / 844

= 14

Step3:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

So, Greatest Common Divisor of 280, 742, 844, 660 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 586, 970, 428
• GCD of 695, 953, 710, 674
• GCD of 673, 270, 995, 948
• GCD of 281, 886, 210, 716
• GCD of 573, 488, 588, 558

Given numbers are 280, 742, 844, 660
The greatest common divisor of numbers 280, 742, 844, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 742, 844, 660 is 2.

1. What is the GCD of 280, 742, 844, 660?

GCD of given numbers 280, 742, 844, 660 is 2

2. How to calculate the greatest common divisor of 280, 742, 844, 660?

We can find the highest common divisor of 280, 742, 844, 660 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 280, 742, 844, 660 i.e 2.

3. How can I use the GCD of 280, 742, 844, 660Calculator?

Out the numbers 280, 742, 844, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.