GCD of 760, 107, 253, 420 Calculator

Given Input numbers are 760, 107, 253, 420

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (760, 107, 253, 420) = 1.

Given numbers are 760, 107, 253, 420

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 107 are 107

Prime factors of 253 are 11 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 760, 107, 253, 420

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

Apply this formula for all numbers.

Step1:

LCM(760, 107) = 81320

GCD(760, 107) = ( 760 x 107 ) / 81320

= 760 / 107

= 760

Step2:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 760, 107, 253, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 986, 791, 485
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Given numbers are 760, 107, 253, 420
The greatest common divisor of numbers 760, 107, 253, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 107, 253, 420 is 1.

1. What is the GCD of 760, 107, 253, 420?

GCD of given numbers 760, 107, 253, 420 is 1

2. How to calculate the greatest common divisor of 760, 107, 253, 420?

We can find the highest common divisor of 760, 107, 253, 420 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 760, 107, 253, 420 i.e 1.

3. How can I use the GCD of 760, 107, 253, 420Calculator?

Out the numbers 760, 107, 253, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.