Highest Common Factor of 8204, 6683 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 8204, 6683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8204, 6683 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 8204, 6683 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 8204, 6683 is 1.
HCF(8204, 6683) = 1
HCF of 8204, 6683 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8204, 6683 is 1.
Highest Common Factor of 8204,6683 is 1
Step 1: Since 8204 > 6683, we apply the division lemma to 8204 and 6683, to get
8204 = 6683 x 1 + 1521
Step 2: Since the reminder 6683 ≠ 0, we apply division lemma to 1521 and 6683, to get
6683 = 1521 x 4 + 599
Step 3: We consider the new divisor 1521 and the new remainder 599, and apply the division lemma to get
1521 = 599 x 2 + 323
We consider the new divisor 599 and the new remainder 323,and apply the division lemma to get
599 = 323 x 1 + 276
We consider the new divisor 323 and the new remainder 276,and apply the division lemma to get
323 = 276 x 1 + 47
We consider the new divisor 276 and the new remainder 47,and apply the division lemma to get
276 = 47 x 5 + 41
We consider the new divisor 47 and the new remainder 41,and apply the division lemma to get
47 = 41 x 1 + 6
We consider the new divisor 41 and the new remainder 6,and apply the division lemma to get
41 = 6 x 6 + 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 8204 and 6683 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(41,6) = HCF(47,41) = HCF(276,47) = HCF(323,276) = HCF(599,323) = HCF(1521,599) = HCF(6683,1521) = HCF(8204,6683) .
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Frequently Asked Questions on HCF of 8204, 6683 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 8204, 6683?
Answer: HCF of 8204, 6683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8204, 6683 using Euclid's Algorithm?
Answer: For arbitrary numbers 8204, 6683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.