Highest Common Factor of 818, 597 using Euclid's algorithm
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 818, 597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 597 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 818, 597 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 818, 597 is 1.
HCF(818, 597) = 1
HCF of 818, 597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 597 is 1.
Highest Common Factor of 818,597 is 1
Step 1: Since 818 > 597, we apply the division lemma to 818 and 597, to get
818 = 597 x 1 + 221
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 221 and 597, to get
597 = 221 x 2 + 155
Step 3: We consider the new divisor 221 and the new remainder 155, and apply the division lemma to get
221 = 155 x 1 + 66
We consider the new divisor 155 and the new remainder 66,and apply the division lemma to get
155 = 66 x 2 + 23
We consider the new divisor 66 and the new remainder 23,and apply the division lemma to get
66 = 23 x 2 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 818 and 597 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(66,23) = HCF(155,66) = HCF(221,155) = HCF(597,221) = HCF(818,597) .
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Frequently Asked Questions on HCF of 818, 597 using Euclid's Algorithm
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 818, 597?
Answer: HCF of 818, 597 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 597 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.