GCD of 874, 350, 700, 238 Calculator

Given Input numbers are 874, 350, 700, 238

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (874, 350, 700, 238) = 2.

Given numbers are 874, 350, 700, 238

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 350 are 2 x 5 x 5 x 7

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

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 874, 350, 700, 238 is 2.

Given numbers are 874, 350, 700, 238

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

Apply this formula for all numbers.

Step1:

LCM(874, 350) = 152950

GCD(874, 350) = ( 874 x 350 ) / 152950

= 874 / 350

= 874

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 874, 350, 700, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 231, 953, 530
• GCD of 937, 343, 996, 869
• GCD of 295, 701, 316, 848
• GCD of 542, 730, 762, 222
• GCD of 906, 259, 140, 887

Given numbers are 874, 350, 700, 238
The greatest common divisor of numbers 874, 350, 700, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 350, 700, 238 is 2.

1. What is the GCD of 874, 350, 700, 238?

GCD of given numbers 874, 350, 700, 238 is 2

2. How to calculate the greatest common divisor of 874, 350, 700, 238?

We can find the highest common divisor of 874, 350, 700, 238 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 874, 350, 700, 238 i.e 2.

3. How can I use the GCD of 874, 350, 700, 238Calculator?

Out the numbers 874, 350, 700, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.