GCD of 142, 110, 724, 680 Calculator

Given Input numbers are 142, 110, 724, 680

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (142, 110, 724, 680) = 2.

Given numbers are 142, 110, 724, 680

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 110 are 2 x 5 x 11

Prime factors of 724 are 2 x 2 x 181

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 142, 110, 724, 680 is 2.

Given numbers are 142, 110, 724, 680

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

Apply this formula for all numbers.

Step1:

LCM(142, 110) = 7810

GCD(142, 110) = ( 142 x 110 ) / 7810

= 142 / 110

= 142

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

So, Greatest Common Divisor of 142, 110, 724, 680 is 2

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Given numbers are 142, 110, 724, 680
The greatest common divisor of numbers 142, 110, 724, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 110, 724, 680 is 2.

1. What is the GCD of 142, 110, 724, 680?

GCD of given numbers 142, 110, 724, 680 is 2

2. How to calculate the greatest common divisor of 142, 110, 724, 680?

We can find the highest common divisor of 142, 110, 724, 680 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 142, 110, 724, 680 i.e 2.

3. How can I use the GCD of 142, 110, 724, 680Calculator?

Out the numbers 142, 110, 724, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.