Highest Common Factor of 6173, 3661 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 6173, 3661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6173, 3661 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 6173, 3661 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 6173, 3661 is 1.
HCF(6173, 3661) = 1
HCF of 6173, 3661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6173, 3661 is 1.
Highest Common Factor of 6173,3661 is 1
Step 1: Since 6173 > 3661, we apply the division lemma to 6173 and 3661, to get
6173 = 3661 x 1 + 2512
Step 2: Since the reminder 3661 ≠ 0, we apply division lemma to 2512 and 3661, to get
3661 = 2512 x 1 + 1149
Step 3: We consider the new divisor 2512 and the new remainder 1149, and apply the division lemma to get
2512 = 1149 x 2 + 214
We consider the new divisor 1149 and the new remainder 214,and apply the division lemma to get
1149 = 214 x 5 + 79
We consider the new divisor 214 and the new remainder 79,and apply the division lemma to get
214 = 79 x 2 + 56
We consider the new divisor 79 and the new remainder 56,and apply the division lemma to get
79 = 56 x 1 + 23
We consider the new divisor 56 and the new remainder 23,and apply the division lemma to get
56 = 23 x 2 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6173 and 3661 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(56,23) = HCF(79,56) = HCF(214,79) = HCF(1149,214) = HCF(2512,1149) = HCF(3661,2512) = HCF(6173,3661) .
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Frequently Asked Questions on HCF of 6173, 3661 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 6173, 3661?
Answer: HCF of 6173, 3661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6173, 3661 using Euclid's Algorithm?
Answer: For arbitrary numbers 6173, 3661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
