GCD of 140, 524, 96, 104 Calculator

Given Input numbers are 140, 524, 96, 104

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (140, 524, 96, 104) = 4.

Given numbers are 140, 524, 96, 104

The list of prime factors of all numbers are

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 140, 524, 96, 104 is 4.

Given numbers are 140, 524, 96, 104

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

Apply this formula for all numbers.

Step1:

LCM(140, 524) = 18340

GCD(140, 524) = ( 140 x 524 ) / 18340

= 140 / 524

= 140

Step2:

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

= 4 / 96

= 4

Step3:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

So, Greatest Common Divisor of 140, 524, 96, 104 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 653, 96, 418
• GCD of 977, 646, 11, 240
• GCD of 699, 946, 18, 727
• GCD of 487, 125, 85, 644
• GCD of 625, 645, 37, 368

Given numbers are 140, 524, 96, 104
The greatest common divisor of numbers 140, 524, 96, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 524, 96, 104 is 4.

1. What is the GCD of 140, 524, 96, 104?

GCD of given numbers 140, 524, 96, 104 is 4

2. How to calculate the greatest common divisor of 140, 524, 96, 104?

We can find the highest common divisor of 140, 524, 96, 104 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, 524, 96, 104 i.e 4.

3. How can I use the GCD of 140, 524, 96, 104Calculator?

Out the numbers 140, 524, 96, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.