GCD of 746, 500, 450, 702 Calculator

Given Input numbers are 746, 500, 450, 702

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (746, 500, 450, 702) = 2.

Given numbers are 746, 500, 450, 702

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 746, 500, 450, 702 is 2.

Given numbers are 746, 500, 450, 702

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

Apply this formula for all numbers.

Step1:

LCM(746, 500) = 186500

GCD(746, 500) = ( 746 x 500 ) / 186500

= 746 / 500

= 746

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 746, 500, 450, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 401, 797, 476
• GCD of 823, 246, 102, 180
• GCD of 476, 249, 400, 434
• GCD of 930, 859, 466, 840
• GCD of 160, 562, 861, 681

Given numbers are 746, 500, 450, 702
The greatest common divisor of numbers 746, 500, 450, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 500, 450, 702 is 2.

1. What is the GCD of 746, 500, 450, 702?

GCD of given numbers 746, 500, 450, 702 is 2

2. How to calculate the greatest common divisor of 746, 500, 450, 702?

We can find the highest common divisor of 746, 500, 450, 702 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 746, 500, 450, 702 i.e 2.

3. How can I use the GCD of 746, 500, 450, 702Calculator?

Out the numbers 746, 500, 450, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.