GCD of 700, 370, 740, 454 Calculator

Given Input numbers are 700, 370, 740, 454

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 370 :

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

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (700, 370, 740, 454) = 2.

Given numbers are 700, 370, 740, 454

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 370 are 2 x 5 x 37

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 700, 370, 740, 454 is 2.

Given numbers are 700, 370, 740, 454

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

Apply this formula for all numbers.

Step1:

LCM(700, 370) = 25900

GCD(700, 370) = ( 700 x 370 ) / 25900

= 700 / 370

= 700

Step2:

LCM(10, 740) = 740

GCD(10, 740) = ( 10 x 740 ) / 740

= 10 / 740

= 10

Step3:

LCM(10, 454) = 2270

GCD(10, 454) = ( 10 x 454 ) / 2270

= 10 / 454

= 10

So, Greatest Common Divisor of 700, 370, 740, 454 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 327, 637, 883
• GCD of 824, 729, 176, 677
• GCD of 511, 171, 373, 851
• GCD of 858, 835, 956, 617
• GCD of 314, 416, 524, 873

Given numbers are 700, 370, 740, 454
The greatest common divisor of numbers 700, 370, 740, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 370, 740, 454 is 2.

1. What is the GCD of 700, 370, 740, 454?

GCD of given numbers 700, 370, 740, 454 is 2

2. How to calculate the greatest common divisor of 700, 370, 740, 454?

We can find the highest common divisor of 700, 370, 740, 454 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 700, 370, 740, 454 i.e 2.

3. How can I use the GCD of 700, 370, 740, 454Calculator?

Out the numbers 700, 370, 740, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.