Highest Common Factor of 6221, 8130 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 6221, 8130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6221, 8130 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 6221, 8130 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 6221, 8130 is 1.
HCF(6221, 8130) = 1
HCF of 6221, 8130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6221, 8130 is 1.
Highest Common Factor of 6221,8130 is 1
Step 1: Since 8130 > 6221, we apply the division lemma to 8130 and 6221, to get
8130 = 6221 x 1 + 1909
Step 2: Since the reminder 6221 ≠ 0, we apply division lemma to 1909 and 6221, to get
6221 = 1909 x 3 + 494
Step 3: We consider the new divisor 1909 and the new remainder 494, and apply the division lemma to get
1909 = 494 x 3 + 427
We consider the new divisor 494 and the new remainder 427,and apply the division lemma to get
494 = 427 x 1 + 67
We consider the new divisor 427 and the new remainder 67,and apply the division lemma to get
427 = 67 x 6 + 25
We consider the new divisor 67 and the new remainder 25,and apply the division lemma to get
67 = 25 x 2 + 17
We consider the new divisor 25 and the new remainder 17,and apply the division lemma to get
25 = 17 x 1 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6221 and 8130 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(25,17) = HCF(67,25) = HCF(427,67) = HCF(494,427) = HCF(1909,494) = HCF(6221,1909) = HCF(8130,6221) .
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Frequently Asked Questions on HCF of 6221, 8130 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 6221, 8130?
Answer: HCF of 6221, 8130 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6221, 8130 using Euclid's Algorithm?
Answer: For arbitrary numbers 6221, 8130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
