GCD of 140, 508, 202, 116 Calculator

Given Input numbers are 140, 508, 202, 116

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (140, 508, 202, 116) = 2.

Given numbers are 140, 508, 202, 116

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 202 are 2 x 101

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 140, 508, 202, 116 is 2.

Given numbers are 140, 508, 202, 116

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

Apply this formula for all numbers.

Step1:

LCM(140, 508) = 17780

GCD(140, 508) = ( 140 x 508 ) / 17780

= 140 / 508

= 140

Step2:

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

= 4 / 202

= 4

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 140, 508, 202, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 763, 515, 563
• GCD of 181, 387, 738, 396
• GCD of 885, 439, 382, 925
• GCD of 132, 287, 184, 174
• GCD of 993, 181, 628, 579

Given numbers are 140, 508, 202, 116
The greatest common divisor of numbers 140, 508, 202, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 508, 202, 116 is 2.

1. What is the GCD of 140, 508, 202, 116?

GCD of given numbers 140, 508, 202, 116 is 2

2. How to calculate the greatest common divisor of 140, 508, 202, 116?

We can find the highest common divisor of 140, 508, 202, 116 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, 508, 202, 116 i.e 2.

3. How can I use the GCD of 140, 508, 202, 116Calculator?

Out the numbers 140, 508, 202, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.