GCD of 268, 694, 142, 160 Calculator

Given Input numbers are 268, 694, 142, 160

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (268, 694, 142, 160) = 2.

Given numbers are 268, 694, 142, 160

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 694 are 2 x 347

Prime factors of 142 are 2 x 71

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 268, 694, 142, 160 is 2.

Given numbers are 268, 694, 142, 160

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

Apply this formula for all numbers.

Step1:

LCM(268, 694) = 92996

GCD(268, 694) = ( 268 x 694 ) / 92996

= 268 / 694

= 268

Step2:

LCM(2, 142) = 142

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

= 2 / 142

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 268, 694, 142, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 131, 152, 869
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• GCD of 442, 506, 623, 747
• GCD of 709, 999, 555, 419
• GCD of 615, 914, 502, 282

Given numbers are 268, 694, 142, 160
The greatest common divisor of numbers 268, 694, 142, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 694, 142, 160 is 2.

1. What is the GCD of 268, 694, 142, 160?

GCD of given numbers 268, 694, 142, 160 is 2

2. How to calculate the greatest common divisor of 268, 694, 142, 160?

We can find the highest common divisor of 268, 694, 142, 160 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 268, 694, 142, 160 i.e 2.

3. How can I use the GCD of 268, 694, 142, 160Calculator?

Out the numbers 268, 694, 142, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.