GCD of 142, 760, 354 Calculator

Given Input numbers are 142, 760, 354

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (142, 760, 354) = 2.

Given numbers are 142, 760, 354

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 142, 760, 354 is 2.

Given numbers are 142, 760, 354

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

Apply this formula for all numbers.

Step1:

LCM(142, 760) = 53960

GCD(142, 760) = ( 142 x 760 ) / 53960

= 142 / 760

= 142

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 142, 760, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 411, 115
• GCD of 428, 170, 200
• GCD of 605, 875, 434
• GCD of 493, 779, 879
• GCD of 596, 423, 565

Given numbers are 142, 760, 354
The greatest common divisor of numbers 142, 760, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 760, 354 is 2.

1. What is the GCD of 142, 760, 354?

GCD of given numbers 142, 760, 354 is 2

2. How to calculate the greatest common divisor of 142, 760, 354?

We can find the highest common divisor of 142, 760, 354 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, 760, 354 i.e 2.

3. How can I use the GCD of 142, 760, 354Calculator?

Out the numbers 142, 760, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.