GCD of 798, 952, 140 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 798, 952, 140 quickly. Get the easiest ways to solve the greatest common divisor of 798, 952, 140 i.e 14 in different methods as follows.
Given Input numbers are 798, 952, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
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
GCD of numbers is the greatest common divisor
So, the GCD (798, 952, 140) = 14.
Given numbers are 798, 952, 140
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 798, 952, 140 is 14.
Steps to Calculate GCD of 798, 952, 140 using LCM Formula
Given numbers are 798, 952, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 952) = 54264
GCD(798, 952) = ( 798 x 952 ) / 54264
= 798 / 952
= 798
Step2:
LCM(14, 140) = 140
GCD(14, 140) = ( 14 x 140 ) / 140
= 14 / 140
= 14
So, Greatest Common Divisor of 798, 952, 140 is 14
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 798, 952, 140
Given numbers are 798, 952, 140
The greatest common divisor of numbers 798, 952, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 952, 140 is 14.
FAQs on GCD of 798, 952, 140 Calculator
1. What is the GCD of 798, 952, 140?
GCD of given numbers 798, 952, 140 is 14
2. How to calculate the greatest common divisor of 798, 952, 140?
We can find the highest common divisor of 798, 952, 140 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 798, 952, 140 i.e 14.
3. How can I use the GCD of 798, 952, 140Calculator?
Out the numbers 798, 952, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.