Highest Common Factor of 9483, 5665 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 9483, 5665 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9483, 5665 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 9483, 5665 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 9483, 5665 is 1.
HCF(9483, 5665) = 1
HCF of 9483, 5665 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9483, 5665 is 1.
Highest Common Factor of 9483,5665 is 1
Step 1: Since 9483 > 5665, we apply the division lemma to 9483 and 5665, to get
9483 = 5665 x 1 + 3818
Step 2: Since the reminder 5665 ≠ 0, we apply division lemma to 3818 and 5665, to get
5665 = 3818 x 1 + 1847
Step 3: We consider the new divisor 3818 and the new remainder 1847, and apply the division lemma to get
3818 = 1847 x 2 + 124
We consider the new divisor 1847 and the new remainder 124,and apply the division lemma to get
1847 = 124 x 14 + 111
We consider the new divisor 124 and the new remainder 111,and apply the division lemma to get
124 = 111 x 1 + 13
We consider the new divisor 111 and the new remainder 13,and apply the division lemma to get
111 = 13 x 8 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9483 and 5665 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(111,13) = HCF(124,111) = HCF(1847,124) = HCF(3818,1847) = HCF(5665,3818) = HCF(9483,5665) .
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Frequently Asked Questions on HCF of 9483, 5665 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 9483, 5665?
Answer: HCF of 9483, 5665 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9483, 5665 using Euclid's Algorithm?
Answer: For arbitrary numbers 9483, 5665 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.