GCD of 370, 724, 854 Calculator

Given Input numbers are 370, 724, 854

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (370, 724, 854) = 2.

Given numbers are 370, 724, 854

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 724 are 2 x 2 x 181

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 370, 724, 854 is 2.

Given numbers are 370, 724, 854

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

Apply this formula for all numbers.

Step1:

LCM(370, 724) = 133940

GCD(370, 724) = ( 370 x 724 ) / 133940

= 370 / 724

= 370

Step2:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 370, 724, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 823, 600
• GCD of 870, 968, 971
• GCD of 618, 970, 511
• GCD of 891, 338, 154
• GCD of 950, 988, 373

Given numbers are 370, 724, 854
The greatest common divisor of numbers 370, 724, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 724, 854 is 2.

1. What is the GCD of 370, 724, 854?

GCD of given numbers 370, 724, 854 is 2

2. How to calculate the greatest common divisor of 370, 724, 854?

We can find the highest common divisor of 370, 724, 854 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 370, 724, 854 i.e 2.

3. How can I use the GCD of 370, 724, 854Calculator?

Out the numbers 370, 724, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.