GCD of 140, 964, 20, 424 Calculator

Given Input numbers are 140, 964, 20, 424

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (140, 964, 20, 424) = 4.

Given numbers are 140, 964, 20, 424

The list of prime factors of all numbers are

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 20 are 2 x 2 x 5

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 140, 964, 20, 424 is 4.

Given numbers are 140, 964, 20, 424

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

Apply this formula for all numbers.

Step1:

LCM(140, 964) = 33740

GCD(140, 964) = ( 140 x 964 ) / 33740

= 140 / 964

= 140

Step2:

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

= 4 / 20

= 4

Step3:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 140, 964, 20, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 171, 12, 708
• GCD of 474, 899, 91, 617
• GCD of 945, 454, 76, 730
• GCD of 420, 170, 82, 608
• GCD of 517, 822, 72, 558

Given numbers are 140, 964, 20, 424
The greatest common divisor of numbers 140, 964, 20, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 964, 20, 424 is 4.

1. What is the GCD of 140, 964, 20, 424?

GCD of given numbers 140, 964, 20, 424 is 4

2. How to calculate the greatest common divisor of 140, 964, 20, 424?

We can find the highest common divisor of 140, 964, 20, 424 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, 964, 20, 424 i.e 4.

3. How can I use the GCD of 140, 964, 20, 424Calculator?

Out the numbers 140, 964, 20, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.