GCD of 140, 105, 702, 978 Calculator

Given Input numbers are 140, 105, 702, 978

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (140, 105, 702, 978) = 1.

Given numbers are 140, 105, 702, 978

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 978 are 2 x 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 140, 105, 702, 978

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

Apply this formula for all numbers.

Step1:

LCM(140, 105) = 420

GCD(140, 105) = ( 140 x 105 ) / 420

= 140 / 105

= 140

Step2:

LCM(35, 702) = 24570

GCD(35, 702) = ( 35 x 702 ) / 24570

= 35 / 702

= 35

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 140, 105, 702, 978 is 1

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Given numbers are 140, 105, 702, 978
The greatest common divisor of numbers 140, 105, 702, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 105, 702, 978 is 1.

1. What is the GCD of 140, 105, 702, 978?

GCD of given numbers 140, 105, 702, 978 is 1

2. How to calculate the greatest common divisor of 140, 105, 702, 978?

We can find the highest common divisor of 140, 105, 702, 978 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 140, 105, 702, 978 i.e 1.

3. How can I use the GCD of 140, 105, 702, 978Calculator?

Out the numbers 140, 105, 702, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.