GCD of 754, 138, 208, 920 Calculator

Given Input numbers are 754, 138, 208, 920

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

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (754, 138, 208, 920) = 2.

Given numbers are 754, 138, 208, 920

The list of prime factors of all numbers are

Prime factors of 754 are 2 x 13 x 29

Prime factors of 138 are 2 x 3 x 23

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 754, 138, 208, 920 is 2.

Given numbers are 754, 138, 208, 920

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

Apply this formula for all numbers.

Step1:

LCM(754, 138) = 52026

GCD(754, 138) = ( 754 x 138 ) / 52026

= 754 / 138

= 754

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 754, 138, 208, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 821, 848, 782
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• GCD of 543, 425, 828, 876

Given numbers are 754, 138, 208, 920
The greatest common divisor of numbers 754, 138, 208, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 754, 138, 208, 920 is 2.

1. What is the GCD of 754, 138, 208, 920?

GCD of given numbers 754, 138, 208, 920 is 2

2. How to calculate the greatest common divisor of 754, 138, 208, 920?

We can find the highest common divisor of 754, 138, 208, 920 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 754, 138, 208, 920 i.e 2.

3. How can I use the GCD of 754, 138, 208, 920Calculator?

Out the numbers 754, 138, 208, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.