GCD of 746, 120, 880, 507 Calculator

Given Input numbers are 746, 120, 880, 507

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (746, 120, 880, 507) = 1.

Given numbers are 746, 120, 880, 507

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 507 are 3 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 746, 120, 880, 507

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

Apply this formula for all numbers.

Step1:

LCM(746, 120) = 44760

GCD(746, 120) = ( 746 x 120 ) / 44760

= 746 / 120

= 746

Step2:

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

= 2 / 880

= 2

Step3:

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

= 2 / 507

= 2

So, Greatest Common Divisor of 746, 120, 880, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 644, 860, 314
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Given numbers are 746, 120, 880, 507
The greatest common divisor of numbers 746, 120, 880, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 120, 880, 507 is 1.

1. What is the GCD of 746, 120, 880, 507?

GCD of given numbers 746, 120, 880, 507 is 1

2. How to calculate the greatest common divisor of 746, 120, 880, 507?

We can find the highest common divisor of 746, 120, 880, 507 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, 120, 880, 507 i.e 1.

3. How can I use the GCD of 746, 120, 880, 507Calculator?

Out the numbers 746, 120, 880, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.