GCD of 760, 420, 946, 918 Calculator

Given Input numbers are 760, 420, 946, 918

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 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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (760, 420, 946, 918) = 2.

Given numbers are 760, 420, 946, 918

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 946 are 2 x 11 x 43

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 760, 420, 946, 918 is 2.

Given numbers are 760, 420, 946, 918

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

Apply this formula for all numbers.

Step1:

LCM(760, 420) = 15960

GCD(760, 420) = ( 760 x 420 ) / 15960

= 760 / 420

= 760

Step2:

LCM(20, 946) = 9460

GCD(20, 946) = ( 20 x 946 ) / 9460

= 20 / 946

= 20

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 760, 420, 946, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 982, 630, 658
• GCD of 959, 451, 163, 633
• GCD of 168, 378, 563, 213
• GCD of 844, 131, 843, 672
• GCD of 922, 339, 129, 750

Given numbers are 760, 420, 946, 918
The greatest common divisor of numbers 760, 420, 946, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 420, 946, 918 is 2.

1. What is the GCD of 760, 420, 946, 918?

GCD of given numbers 760, 420, 946, 918 is 2

2. How to calculate the greatest common divisor of 760, 420, 946, 918?

We can find the highest common divisor of 760, 420, 946, 918 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, 420, 946, 918 i.e 2.

3. How can I use the GCD of 760, 420, 946, 918Calculator?

Out the numbers 760, 420, 946, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.