GCD of 758, 280, 142 Calculator

Given Input numbers are 758, 280, 142

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (758, 280, 142) = 2.

Given numbers are 758, 280, 142

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 758, 280, 142 is 2.

Given numbers are 758, 280, 142

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

Apply this formula for all numbers.

Step1:

LCM(758, 280) = 106120

GCD(758, 280) = ( 758 x 280 ) / 106120

= 758 / 280

= 758

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 758, 280, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 362, 791
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Given numbers are 758, 280, 142
The greatest common divisor of numbers 758, 280, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 280, 142 is 2.

1. What is the GCD of 758, 280, 142?

GCD of given numbers 758, 280, 142 is 2

2. How to calculate the greatest common divisor of 758, 280, 142?

We can find the highest common divisor of 758, 280, 142 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 758, 280, 142 i.e 2.

3. How can I use the GCD of 758, 280, 142Calculator?

Out the numbers 758, 280, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.