GCD of 674, 900, 240, 750 Calculator

Given Input numbers are 674, 900, 240, 750

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (674, 900, 240, 750) = 2.

Given numbers are 674, 900, 240, 750

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 674, 900, 240, 750 is 2.

Given numbers are 674, 900, 240, 750

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

Apply this formula for all numbers.

Step1:

LCM(674, 900) = 303300

GCD(674, 900) = ( 674 x 900 ) / 303300

= 674 / 900

= 674

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

So, Greatest Common Divisor of 674, 900, 240, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 483, 428, 827
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• GCD of 383, 404, 830, 154
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• GCD of 442, 875, 648, 725

Given numbers are 674, 900, 240, 750
The greatest common divisor of numbers 674, 900, 240, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 900, 240, 750 is 2.

1. What is the GCD of 674, 900, 240, 750?

GCD of given numbers 674, 900, 240, 750 is 2

2. How to calculate the greatest common divisor of 674, 900, 240, 750?

We can find the highest common divisor of 674, 900, 240, 750 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 674, 900, 240, 750 i.e 2.

3. How can I use the GCD of 674, 900, 240, 750Calculator?

Out the numbers 674, 900, 240, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.