Highest Common Factor of 9682, 9187 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 9682, 9187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9682, 9187 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 9682, 9187 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 9682, 9187 is 1.
HCF(9682, 9187) = 1
HCF of 9682, 9187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9682, 9187 is 1.
Highest Common Factor of 9682,9187 is 1
Step 1: Since 9682 > 9187, we apply the division lemma to 9682 and 9187, to get
9682 = 9187 x 1 + 495
Step 2: Since the reminder 9187 ≠ 0, we apply division lemma to 495 and 9187, to get
9187 = 495 x 18 + 277
Step 3: We consider the new divisor 495 and the new remainder 277, and apply the division lemma to get
495 = 277 x 1 + 218
We consider the new divisor 277 and the new remainder 218,and apply the division lemma to get
277 = 218 x 1 + 59
We consider the new divisor 218 and the new remainder 59,and apply the division lemma to get
218 = 59 x 3 + 41
We consider the new divisor 59 and the new remainder 41,and apply the division lemma to get
59 = 41 x 1 + 18
We consider the new divisor 41 and the new remainder 18,and apply the division lemma to get
41 = 18 x 2 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9682 and 9187 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(41,18) = HCF(59,41) = HCF(218,59) = HCF(277,218) = HCF(495,277) = HCF(9187,495) = HCF(9682,9187) .
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Frequently Asked Questions on HCF of 9682, 9187 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 9682, 9187?
Answer: HCF of 9682, 9187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9682, 9187 using Euclid's Algorithm?
Answer: For arbitrary numbers 9682, 9187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
