GCD of 140, 336, 280, 238 Calculator

Given Input numbers are 140, 336, 280, 238

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (140, 336, 280, 238) = 14.

Given numbers are 140, 336, 280, 238

The list of prime factors of all numbers are

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

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 140, 336, 280, 238 is 14.

Given numbers are 140, 336, 280, 238

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

Apply this formula for all numbers.

Step1:

LCM(140, 336) = 1680

GCD(140, 336) = ( 140 x 336 ) / 1680

= 140 / 336

= 140

Step2:

LCM(28, 280) = 280

GCD(28, 280) = ( 28 x 280 ) / 280

= 28 / 280

= 28

Step3:

LCM(28, 238) = 476

GCD(28, 238) = ( 28 x 238 ) / 476

= 28 / 238

= 28

So, Greatest Common Divisor of 140, 336, 280, 238 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 477, 459, 591
• GCD of 810, 786, 217, 964
• GCD of 613, 482, 380, 425
• GCD of 900, 653, 110, 818
• GCD of 268, 653, 668, 860

Given numbers are 140, 336, 280, 238
The greatest common divisor of numbers 140, 336, 280, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 336, 280, 238 is 14.

1. What is the GCD of 140, 336, 280, 238?

GCD of given numbers 140, 336, 280, 238 is 14

2. How to calculate the greatest common divisor of 140, 336, 280, 238?

We can find the highest common divisor of 140, 336, 280, 238 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, 336, 280, 238 i.e 14.

3. How can I use the GCD of 140, 336, 280, 238Calculator?

Out the numbers 140, 336, 280, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.