GCD of 767, 361, 625, 914 Calculator

Given Input numbers are 767, 361, 625, 914

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

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (767, 361, 625, 914) = 1.

Given numbers are 767, 361, 625, 914

The list of prime factors of all numbers are

Prime factors of 767 are 13 x 59

Prime factors of 361 are 19 x 19

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 914 are 2 x 457

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

Given numbers are 767, 361, 625, 914

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

Apply this formula for all numbers.

Step1:

LCM(767, 361) = 276887

GCD(767, 361) = ( 767 x 361 ) / 276887

= 767 / 361

= 767

Step2:

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

= 1 / 625

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 767, 361, 625, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 362, 717, 809
• GCD of 978, 182, 236, 433
• GCD of 889, 388, 579, 230
• GCD of 430, 133, 286, 941
• GCD of 621, 363, 388, 538

Given numbers are 767, 361, 625, 914
The greatest common divisor of numbers 767, 361, 625, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 767, 361, 625, 914 is 1.

1. What is the GCD of 767, 361, 625, 914?

GCD of given numbers 767, 361, 625, 914 is 1

2. How to calculate the greatest common divisor of 767, 361, 625, 914?

We can find the highest common divisor of 767, 361, 625, 914 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 767, 361, 625, 914 i.e 1.

3. How can I use the GCD of 767, 361, 625, 914Calculator?

Out the numbers 767, 361, 625, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.