GCD of 842, 340, 720, 274 Calculator

Given Input numbers are 842, 340, 720, 274

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (842, 340, 720, 274) = 2.

Given numbers are 842, 340, 720, 274

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 842, 340, 720, 274 is 2.

Given numbers are 842, 340, 720, 274

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

Apply this formula for all numbers.

Step1:

LCM(842, 340) = 143140

GCD(842, 340) = ( 842 x 340 ) / 143140

= 842 / 340

= 842

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 842, 340, 720, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 436, 829, 503
• GCD of 318, 490, 420, 290
• GCD of 869, 489, 652, 972
• GCD of 992, 724, 375, 158
• GCD of 557, 526, 354, 533

Given numbers are 842, 340, 720, 274
The greatest common divisor of numbers 842, 340, 720, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 340, 720, 274 is 2.

1. What is the GCD of 842, 340, 720, 274?

GCD of given numbers 842, 340, 720, 274 is 2

2. How to calculate the greatest common divisor of 842, 340, 720, 274?

We can find the highest common divisor of 842, 340, 720, 274 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 842, 340, 720, 274 i.e 2.

3. How can I use the GCD of 842, 340, 720, 274Calculator?

Out the numbers 842, 340, 720, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.