Highest Common Factor of 6191, 2206 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 6191, 2206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6191, 2206 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 6191, 2206 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 6191, 2206 is 1.
HCF(6191, 2206) = 1
HCF of 6191, 2206 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6191, 2206 is 1.
Highest Common Factor of 6191,2206 is 1
Step 1: Since 6191 > 2206, we apply the division lemma to 6191 and 2206, to get
6191 = 2206 x 2 + 1779
Step 2: Since the reminder 2206 ≠ 0, we apply division lemma to 1779 and 2206, to get
2206 = 1779 x 1 + 427
Step 3: We consider the new divisor 1779 and the new remainder 427, and apply the division lemma to get
1779 = 427 x 4 + 71
We consider the new divisor 427 and the new remainder 71,and apply the division lemma to get
427 = 71 x 6 + 1
We consider the new divisor 71 and the new remainder 1,and apply the division lemma to get
71 = 1 x 71 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6191 and 2206 is 1
Notice that 1 = HCF(71,1) = HCF(427,71) = HCF(1779,427) = HCF(2206,1779) = HCF(6191,2206) .
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Frequently Asked Questions on HCF of 6191, 2206 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 6191, 2206?
Answer: HCF of 6191, 2206 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6191, 2206 using Euclid's Algorithm?
Answer: For arbitrary numbers 6191, 2206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.