Highest Common Factor of 9969, 3399 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 9969, 3399 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9969, 3399 is 3 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 9969, 3399 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 9969, 3399 is 3.
HCF(9969, 3399) = 3
HCF of 9969, 3399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9969, 3399 is 3.
Highest Common Factor of 9969,3399 is 3
Step 1: Since 9969 > 3399, we apply the division lemma to 9969 and 3399, to get
9969 = 3399 x 2 + 3171
Step 2: Since the reminder 3399 ≠ 0, we apply division lemma to 3171 and 3399, to get
3399 = 3171 x 1 + 228
Step 3: We consider the new divisor 3171 and the new remainder 228, and apply the division lemma to get
3171 = 228 x 13 + 207
We consider the new divisor 228 and the new remainder 207,and apply the division lemma to get
228 = 207 x 1 + 21
We consider the new divisor 207 and the new remainder 21,and apply the division lemma to get
207 = 21 x 9 + 18
We consider the new divisor 21 and the new remainder 18,and apply the division lemma to get
21 = 18 x 1 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9969 and 3399 is 3
Notice that 3 = HCF(18,3) = HCF(21,18) = HCF(207,21) = HCF(228,207) = HCF(3171,228) = HCF(3399,3171) = HCF(9969,3399) .
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Frequently Asked Questions on HCF of 9969, 3399 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 9969, 3399?
Answer: HCF of 9969, 3399 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9969, 3399 using Euclid's Algorithm?
Answer: For arbitrary numbers 9969, 3399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.