Highest Common Factor of 6206, 1677 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 6206, 1677 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6206, 1677 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 6206, 1677 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 6206, 1677 is 1.
HCF(6206, 1677) = 1
HCF of 6206, 1677 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6206, 1677 is 1.
Highest Common Factor of 6206,1677 is 1
Step 1: Since 6206 > 1677, we apply the division lemma to 6206 and 1677, to get
6206 = 1677 x 3 + 1175
Step 2: Since the reminder 1677 ≠ 0, we apply division lemma to 1175 and 1677, to get
1677 = 1175 x 1 + 502
Step 3: We consider the new divisor 1175 and the new remainder 502, and apply the division lemma to get
1175 = 502 x 2 + 171
We consider the new divisor 502 and the new remainder 171,and apply the division lemma to get
502 = 171 x 2 + 160
We consider the new divisor 171 and the new remainder 160,and apply the division lemma to get
171 = 160 x 1 + 11
We consider the new divisor 160 and the new remainder 11,and apply the division lemma to get
160 = 11 x 14 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6206 and 1677 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(160,11) = HCF(171,160) = HCF(502,171) = HCF(1175,502) = HCF(1677,1175) = HCF(6206,1677) .
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Frequently Asked Questions on HCF of 6206, 1677 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 6206, 1677?
Answer: HCF of 6206, 1677 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6206, 1677 using Euclid's Algorithm?
Answer: For arbitrary numbers 6206, 1677 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
