GCD of 740, 860, 354, 674 Calculator

Given Input numbers are 740, 860, 354, 674

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

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (740, 860, 354, 674) = 2.

Given numbers are 740, 860, 354, 674

The list of prime factors of all numbers are

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

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 354 are 2 x 3 x 59

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 740, 860, 354, 674 is 2.

Given numbers are 740, 860, 354, 674

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

Apply this formula for all numbers.

Step1:

LCM(740, 860) = 31820

GCD(740, 860) = ( 740 x 860 ) / 31820

= 740 / 860

= 740

Step2:

LCM(20, 354) = 3540

GCD(20, 354) = ( 20 x 354 ) / 3540

= 20 / 354

= 20

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 740, 860, 354, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 273, 210, 548
• GCD of 108, 634, 380, 429
• GCD of 241, 173, 581, 803
• GCD of 787, 472, 501, 966
• GCD of 526, 519, 766, 295

Given numbers are 740, 860, 354, 674
The greatest common divisor of numbers 740, 860, 354, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 860, 354, 674 is 2.

1. What is the GCD of 740, 860, 354, 674?

GCD of given numbers 740, 860, 354, 674 is 2

2. How to calculate the greatest common divisor of 740, 860, 354, 674?

We can find the highest common divisor of 740, 860, 354, 674 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 740, 860, 354, 674 i.e 2.

3. How can I use the GCD of 740, 860, 354, 674Calculator?

Out the numbers 740, 860, 354, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.