Highest Common Factor of 9666, 3319 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 9666, 3319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9666, 3319 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 9666, 3319 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 9666, 3319 is 1.
HCF(9666, 3319) = 1
HCF of 9666, 3319 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9666, 3319 is 1.
Highest Common Factor of 9666,3319 is 1
Step 1: Since 9666 > 3319, we apply the division lemma to 9666 and 3319, to get
9666 = 3319 x 2 + 3028
Step 2: Since the reminder 3319 ≠ 0, we apply division lemma to 3028 and 3319, to get
3319 = 3028 x 1 + 291
Step 3: We consider the new divisor 3028 and the new remainder 291, and apply the division lemma to get
3028 = 291 x 10 + 118
We consider the new divisor 291 and the new remainder 118,and apply the division lemma to get
291 = 118 x 2 + 55
We consider the new divisor 118 and the new remainder 55,and apply the division lemma to get
118 = 55 x 2 + 8
We consider the new divisor 55 and the new remainder 8,and apply the division lemma to get
55 = 8 x 6 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9666 and 3319 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(55,8) = HCF(118,55) = HCF(291,118) = HCF(3028,291) = HCF(3319,3028) = HCF(9666,3319) .
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Frequently Asked Questions on HCF of 9666, 3319 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 9666, 3319?
Answer: HCF of 9666, 3319 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9666, 3319 using Euclid's Algorithm?
Answer: For arbitrary numbers 9666, 3319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.