Highest Common Factor of 8661, 1911 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 8661, 1911 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8661, 1911 is 3 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 8661, 1911 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 8661, 1911 is 3.
HCF(8661, 1911) = 3
HCF of 8661, 1911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8661, 1911 is 3.
Highest Common Factor of 8661,1911 is 3
Step 1: Since 8661 > 1911, we apply the division lemma to 8661 and 1911, to get
8661 = 1911 x 4 + 1017
Step 2: Since the reminder 1911 ≠ 0, we apply division lemma to 1017 and 1911, to get
1911 = 1017 x 1 + 894
Step 3: We consider the new divisor 1017 and the new remainder 894, and apply the division lemma to get
1017 = 894 x 1 + 123
We consider the new divisor 894 and the new remainder 123,and apply the division lemma to get
894 = 123 x 7 + 33
We consider the new divisor 123 and the new remainder 33,and apply the division lemma to get
123 = 33 x 3 + 24
We consider the new divisor 33 and the new remainder 24,and apply the division lemma to get
33 = 24 x 1 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8661 and 1911 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(33,24) = HCF(123,33) = HCF(894,123) = HCF(1017,894) = HCF(1911,1017) = HCF(8661,1911) .
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Frequently Asked Questions on HCF of 8661, 1911 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 8661, 1911?
Answer: HCF of 8661, 1911 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8661, 1911 using Euclid's Algorithm?
Answer: For arbitrary numbers 8661, 1911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.