Highest Common Factor of 9997, 6332 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 9997, 6332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9997, 6332 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 9997, 6332 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 9997, 6332 is 1.
HCF(9997, 6332) = 1
HCF of 9997, 6332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9997, 6332 is 1.
Highest Common Factor of 9997,6332 is 1
Step 1: Since 9997 > 6332, we apply the division lemma to 9997 and 6332, to get
9997 = 6332 x 1 + 3665
Step 2: Since the reminder 6332 ≠ 0, we apply division lemma to 3665 and 6332, to get
6332 = 3665 x 1 + 2667
Step 3: We consider the new divisor 3665 and the new remainder 2667, and apply the division lemma to get
3665 = 2667 x 1 + 998
We consider the new divisor 2667 and the new remainder 998,and apply the division lemma to get
2667 = 998 x 2 + 671
We consider the new divisor 998 and the new remainder 671,and apply the division lemma to get
998 = 671 x 1 + 327
We consider the new divisor 671 and the new remainder 327,and apply the division lemma to get
671 = 327 x 2 + 17
We consider the new divisor 327 and the new remainder 17,and apply the division lemma to get
327 = 17 x 19 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9997 and 6332 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(327,17) = HCF(671,327) = HCF(998,671) = HCF(2667,998) = HCF(3665,2667) = HCF(6332,3665) = HCF(9997,6332) .
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Frequently Asked Questions on HCF of 9997, 6332 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 9997, 6332?
Answer: HCF of 9997, 6332 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9997, 6332 using Euclid's Algorithm?
Answer: For arbitrary numbers 9997, 6332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.