Highest Common Factor of 8206, 4370 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 8206, 4370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8206, 4370 is 2 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 8206, 4370 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 8206, 4370 is 2.
HCF(8206, 4370) = 2
HCF of 8206, 4370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8206, 4370 is 2.
Highest Common Factor of 8206,4370 is 2
Step 1: Since 8206 > 4370, we apply the division lemma to 8206 and 4370, to get
8206 = 4370 x 1 + 3836
Step 2: Since the reminder 4370 ≠ 0, we apply division lemma to 3836 and 4370, to get
4370 = 3836 x 1 + 534
Step 3: We consider the new divisor 3836 and the new remainder 534, and apply the division lemma to get
3836 = 534 x 7 + 98
We consider the new divisor 534 and the new remainder 98,and apply the division lemma to get
534 = 98 x 5 + 44
We consider the new divisor 98 and the new remainder 44,and apply the division lemma to get
98 = 44 x 2 + 10
We consider the new divisor 44 and the new remainder 10,and apply the division lemma to get
44 = 10 x 4 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8206 and 4370 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(44,10) = HCF(98,44) = HCF(534,98) = HCF(3836,534) = HCF(4370,3836) = HCF(8206,4370) .
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Frequently Asked Questions on HCF of 8206, 4370 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 8206, 4370?
Answer: HCF of 8206, 4370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8206, 4370 using Euclid's Algorithm?
Answer: For arbitrary numbers 8206, 4370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.