Highest Common Factor of 8569, 6166 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 8569, 6166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8569, 6166 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 8569, 6166 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 8569, 6166 is 1.
HCF(8569, 6166) = 1
HCF of 8569, 6166 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8569, 6166 is 1.
Highest Common Factor of 8569,6166 is 1
Step 1: Since 8569 > 6166, we apply the division lemma to 8569 and 6166, to get
8569 = 6166 x 1 + 2403
Step 2: Since the reminder 6166 ≠ 0, we apply division lemma to 2403 and 6166, to get
6166 = 2403 x 2 + 1360
Step 3: We consider the new divisor 2403 and the new remainder 1360, and apply the division lemma to get
2403 = 1360 x 1 + 1043
We consider the new divisor 1360 and the new remainder 1043,and apply the division lemma to get
1360 = 1043 x 1 + 317
We consider the new divisor 1043 and the new remainder 317,and apply the division lemma to get
1043 = 317 x 3 + 92
We consider the new divisor 317 and the new remainder 92,and apply the division lemma to get
317 = 92 x 3 + 41
We consider the new divisor 92 and the new remainder 41,and apply the division lemma to get
92 = 41 x 2 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8569 and 6166 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(92,41) = HCF(317,92) = HCF(1043,317) = HCF(1360,1043) = HCF(2403,1360) = HCF(6166,2403) = HCF(8569,6166) .
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Frequently Asked Questions on HCF of 8569, 6166 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 8569, 6166?
Answer: HCF of 8569, 6166 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8569, 6166 using Euclid's Algorithm?
Answer: For arbitrary numbers 8569, 6166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.