Highest Common Factor of 606, 997 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 606, 997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 606, 997 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 606, 997 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 606, 997 is 1.
HCF(606, 997) = 1
HCF of 606, 997 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 606, 997 is 1.
Highest Common Factor of 606,997 is 1
Step 1: Since 997 > 606, we apply the division lemma to 997 and 606, to get
997 = 606 x 1 + 391
Step 2: Since the reminder 606 ≠ 0, we apply division lemma to 391 and 606, to get
606 = 391 x 1 + 215
Step 3: We consider the new divisor 391 and the new remainder 215, and apply the division lemma to get
391 = 215 x 1 + 176
We consider the new divisor 215 and the new remainder 176,and apply the division lemma to get
215 = 176 x 1 + 39
We consider the new divisor 176 and the new remainder 39,and apply the division lemma to get
176 = 39 x 4 + 20
We consider the new divisor 39 and the new remainder 20,and apply the division lemma to get
39 = 20 x 1 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 606 and 997 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(39,20) = HCF(176,39) = HCF(215,176) = HCF(391,215) = HCF(606,391) = HCF(997,606) .
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Frequently Asked Questions on HCF of 606, 997 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 606, 997?
Answer: HCF of 606, 997 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 606, 997 using Euclid's Algorithm?
Answer: For arbitrary numbers 606, 997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.