Highest Common Factor of 3166, 7006 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 3166, 7006 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3166, 7006 is 2 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 3166, 7006 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 3166, 7006 is 2.
HCF(3166, 7006) = 2
HCF of 3166, 7006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3166, 7006 is 2.
Highest Common Factor of 3166,7006 is 2
Step 1: Since 7006 > 3166, we apply the division lemma to 7006 and 3166, to get
7006 = 3166 x 2 + 674
Step 2: Since the reminder 3166 ≠ 0, we apply division lemma to 674 and 3166, to get
3166 = 674 x 4 + 470
Step 3: We consider the new divisor 674 and the new remainder 470, and apply the division lemma to get
674 = 470 x 1 + 204
We consider the new divisor 470 and the new remainder 204,and apply the division lemma to get
470 = 204 x 2 + 62
We consider the new divisor 204 and the new remainder 62,and apply the division lemma to get
204 = 62 x 3 + 18
We consider the new divisor 62 and the new remainder 18,and apply the division lemma to get
62 = 18 x 3 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3166 and 7006 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(62,18) = HCF(204,62) = HCF(470,204) = HCF(674,470) = HCF(3166,674) = HCF(7006,3166) .
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Frequently Asked Questions on HCF of 3166, 7006 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 3166, 7006?
Answer: HCF of 3166, 7006 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3166, 7006 using Euclid's Algorithm?
Answer: For arbitrary numbers 3166, 7006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.