GCD of 140, 273, 602, 280 Calculator

Given Input numbers are 140, 273, 602, 280

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

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

GCD of numbers is the greatest common divisor

So, the GCD (140, 273, 602, 280) = 7.

Given numbers are 140, 273, 602, 280

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 273 are 3 x 7 x 13

Prime factors of 602 are 2 x 7 x 43

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

The highest common occurrence is 7¹

Therefore, GCD of 140, 273, 602, 280 is 7.

Given numbers are 140, 273, 602, 280

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

Apply this formula for all numbers.

Step1:

LCM(140, 273) = 5460

GCD(140, 273) = ( 140 x 273 ) / 5460

= 140 / 273

= 140

Step2:

LCM(7, 602) = 602

GCD(7, 602) = ( 7 x 602 ) / 602

= 7 / 602

= 7

Step3:

LCM(7, 280) = 280

GCD(7, 280) = ( 7 x 280 ) / 280

= 7 / 280

= 7

So, Greatest Common Divisor of 140, 273, 602, 280 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 113, 500, 748
• GCD of 572, 201, 848, 489
• GCD of 692, 529, 513, 126
• GCD of 939, 359, 221, 146
• GCD of 401, 809, 603, 726

Given numbers are 140, 273, 602, 280
The greatest common divisor of numbers 140, 273, 602, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 273, 602, 280 is 7.

1. What is the GCD of 140, 273, 602, 280?

GCD of given numbers 140, 273, 602, 280 is 7

2. How to calculate the greatest common divisor of 140, 273, 602, 280?

We can find the highest common divisor of 140, 273, 602, 280 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 140, 273, 602, 280 i.e 7.

3. How can I use the GCD of 140, 273, 602, 280Calculator?

Out the numbers 140, 273, 602, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.