Highest Common Factor of 7166, 3969 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 7166, 3969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7166, 3969 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 7166, 3969 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 7166, 3969 is 1.
HCF(7166, 3969) = 1
HCF of 7166, 3969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7166, 3969 is 1.
Highest Common Factor of 7166,3969 is 1
Step 1: Since 7166 > 3969, we apply the division lemma to 7166 and 3969, to get
7166 = 3969 x 1 + 3197
Step 2: Since the reminder 3969 ≠ 0, we apply division lemma to 3197 and 3969, to get
3969 = 3197 x 1 + 772
Step 3: We consider the new divisor 3197 and the new remainder 772, and apply the division lemma to get
3197 = 772 x 4 + 109
We consider the new divisor 772 and the new remainder 109,and apply the division lemma to get
772 = 109 x 7 + 9
We consider the new divisor 109 and the new remainder 9,and apply the division lemma to get
109 = 9 x 12 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7166 and 3969 is 1
Notice that 1 = HCF(9,1) = HCF(109,9) = HCF(772,109) = HCF(3197,772) = HCF(3969,3197) = HCF(7166,3969) .
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Frequently Asked Questions on HCF of 7166, 3969 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 7166, 3969?
Answer: HCF of 7166, 3969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7166, 3969 using Euclid's Algorithm?
Answer: For arbitrary numbers 7166, 3969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
