Highest Common Factor of 9812, 8627 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 9812, 8627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9812, 8627 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 9812, 8627 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 9812, 8627 is 1.
HCF(9812, 8627) = 1
HCF of 9812, 8627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9812, 8627 is 1.
Highest Common Factor of 9812,8627 is 1
Step 1: Since 9812 > 8627, we apply the division lemma to 9812 and 8627, to get
9812 = 8627 x 1 + 1185
Step 2: Since the reminder 8627 ≠ 0, we apply division lemma to 1185 and 8627, to get
8627 = 1185 x 7 + 332
Step 3: We consider the new divisor 1185 and the new remainder 332, and apply the division lemma to get
1185 = 332 x 3 + 189
We consider the new divisor 332 and the new remainder 189,and apply the division lemma to get
332 = 189 x 1 + 143
We consider the new divisor 189 and the new remainder 143,and apply the division lemma to get
189 = 143 x 1 + 46
We consider the new divisor 143 and the new remainder 46,and apply the division lemma to get
143 = 46 x 3 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 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 9812 and 8627 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(143,46) = HCF(189,143) = HCF(332,189) = HCF(1185,332) = HCF(8627,1185) = HCF(9812,8627) .
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Frequently Asked Questions on HCF of 9812, 8627 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 9812, 8627?
Answer: HCF of 9812, 8627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9812, 8627 using Euclid's Algorithm?
Answer: For arbitrary numbers 9812, 8627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
