GCD of 840, 142, 757, 523 Calculator

Given Input numbers are 840, 142, 757, 523

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (840, 142, 757, 523) = 1.

Given numbers are 840, 142, 757, 523

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 142 are 2 x 71

Prime factors of 757 are 757

Prime factors of 523 are 523

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 840, 142, 757, 523

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

Apply this formula for all numbers.

Step1:

LCM(840, 142) = 59640

GCD(840, 142) = ( 840 x 142 ) / 59640

= 840 / 142

= 840

Step2:

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

= 2 / 757

= 2

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 840, 142, 757, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 653, 708, 987
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Given numbers are 840, 142, 757, 523
The greatest common divisor of numbers 840, 142, 757, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 142, 757, 523 is 1.

1. What is the GCD of 840, 142, 757, 523?

GCD of given numbers 840, 142, 757, 523 is 1

2. How to calculate the greatest common divisor of 840, 142, 757, 523?

We can find the highest common divisor of 840, 142, 757, 523 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 840, 142, 757, 523 i.e 1.

3. How can I use the GCD of 840, 142, 757, 523Calculator?

Out the numbers 840, 142, 757, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.