Highest Common Factor of 8472, 9653 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 8472, 9653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8472, 9653 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 8472, 9653 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 8472, 9653 is 1.
HCF(8472, 9653) = 1
HCF of 8472, 9653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8472, 9653 is 1.
Highest Common Factor of 8472,9653 is 1
Step 1: Since 9653 > 8472, we apply the division lemma to 9653 and 8472, to get
9653 = 8472 x 1 + 1181
Step 2: Since the reminder 8472 ≠ 0, we apply division lemma to 1181 and 8472, to get
8472 = 1181 x 7 + 205
Step 3: We consider the new divisor 1181 and the new remainder 205, and apply the division lemma to get
1181 = 205 x 5 + 156
We consider the new divisor 205 and the new remainder 156,and apply the division lemma to get
205 = 156 x 1 + 49
We consider the new divisor 156 and the new remainder 49,and apply the division lemma to get
156 = 49 x 3 + 9
We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get
49 = 9 x 5 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 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 8472 and 9653 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(156,49) = HCF(205,156) = HCF(1181,205) = HCF(8472,1181) = HCF(9653,8472) .
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Frequently Asked Questions on HCF of 8472, 9653 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 8472, 9653?
Answer: HCF of 8472, 9653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8472, 9653 using Euclid's Algorithm?
Answer: For arbitrary numbers 8472, 9653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.