Highest Common Factor of 8747, 8011 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 8747, 8011 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8747, 8011 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 8747, 8011 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 8747, 8011 is 1.
HCF(8747, 8011) = 1
HCF of 8747, 8011 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8747, 8011 is 1.
Highest Common Factor of 8747,8011 is 1
Step 1: Since 8747 > 8011, we apply the division lemma to 8747 and 8011, to get
8747 = 8011 x 1 + 736
Step 2: Since the reminder 8011 ≠ 0, we apply division lemma to 736 and 8011, to get
8011 = 736 x 10 + 651
Step 3: We consider the new divisor 736 and the new remainder 651, and apply the division lemma to get
736 = 651 x 1 + 85
We consider the new divisor 651 and the new remainder 85,and apply the division lemma to get
651 = 85 x 7 + 56
We consider the new divisor 85 and the new remainder 56,and apply the division lemma to get
85 = 56 x 1 + 29
We consider the new divisor 56 and the new remainder 29,and apply the division lemma to get
56 = 29 x 1 + 27
We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get
29 = 27 x 1 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 8747 and 8011 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(651,85) = HCF(736,651) = HCF(8011,736) = HCF(8747,8011) .
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Frequently Asked Questions on HCF of 8747, 8011 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 8747, 8011?
Answer: HCF of 8747, 8011 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8747, 8011 using Euclid's Algorithm?
Answer: For arbitrary numbers 8747, 8011 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.