Highest Common Factor of 9684, 5605 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 9684, 5605 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9684, 5605 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 9684, 5605 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 9684, 5605 is 1.
HCF(9684, 5605) = 1
HCF of 9684, 5605 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9684, 5605 is 1.
Highest Common Factor of 9684,5605 is 1
Step 1: Since 9684 > 5605, we apply the division lemma to 9684 and 5605, to get
9684 = 5605 x 1 + 4079
Step 2: Since the reminder 5605 ≠ 0, we apply division lemma to 4079 and 5605, to get
5605 = 4079 x 1 + 1526
Step 3: We consider the new divisor 4079 and the new remainder 1526, and apply the division lemma to get
4079 = 1526 x 2 + 1027
We consider the new divisor 1526 and the new remainder 1027,and apply the division lemma to get
1526 = 1027 x 1 + 499
We consider the new divisor 1027 and the new remainder 499,and apply the division lemma to get
1027 = 499 x 2 + 29
We consider the new divisor 499 and the new remainder 29,and apply the division lemma to get
499 = 29 x 17 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9684 and 5605 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(499,29) = HCF(1027,499) = HCF(1526,1027) = HCF(4079,1526) = HCF(5605,4079) = HCF(9684,5605) .
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Frequently Asked Questions on HCF of 9684, 5605 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 9684, 5605?
Answer: HCF of 9684, 5605 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9684, 5605 using Euclid's Algorithm?
Answer: For arbitrary numbers 9684, 5605 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.