Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 589, 818, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 589, 818, 344 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 589, 818, 344 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 589, 818, 344 is 1.
HCF(589, 818, 344) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 589, 818, 344 is 1.
Step 1: Since 818 > 589, we apply the division lemma to 818 and 589, to get
818 = 589 x 1 + 229
Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 229 and 589, to get
589 = 229 x 2 + 131
Step 3: We consider the new divisor 229 and the new remainder 131, and apply the division lemma to get
229 = 131 x 1 + 98
We consider the new divisor 131 and the new remainder 98,and apply the division lemma to get
131 = 98 x 1 + 33
We consider the new divisor 98 and the new remainder 33,and apply the division lemma to get
98 = 33 x 2 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 589 and 818 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(98,33) = HCF(131,98) = HCF(229,131) = HCF(589,229) = HCF(818,589) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get
344 = 1 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1
Notice that 1 = HCF(344,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 589, 818, 344?
Answer: HCF of 589, 818, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 589, 818, 344 using Euclid's Algorithm?
Answer: For arbitrary numbers 589, 818, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.