Highest Common Factor of 8210, 4399 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 8210, 4399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8210, 4399 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 8210, 4399 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 8210, 4399 is 1.
HCF(8210, 4399) = 1
HCF of 8210, 4399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8210, 4399 is 1.
Highest Common Factor of 8210,4399 is 1
Step 1: Since 8210 > 4399, we apply the division lemma to 8210 and 4399, to get
8210 = 4399 x 1 + 3811
Step 2: Since the reminder 4399 ≠ 0, we apply division lemma to 3811 and 4399, to get
4399 = 3811 x 1 + 588
Step 3: We consider the new divisor 3811 and the new remainder 588, and apply the division lemma to get
3811 = 588 x 6 + 283
We consider the new divisor 588 and the new remainder 283,and apply the division lemma to get
588 = 283 x 2 + 22
We consider the new divisor 283 and the new remainder 22,and apply the division lemma to get
283 = 22 x 12 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8210 and 4399 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(283,22) = HCF(588,283) = HCF(3811,588) = HCF(4399,3811) = HCF(8210,4399) .
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Frequently Asked Questions on HCF of 8210, 4399 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 8210, 4399?
Answer: HCF of 8210, 4399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8210, 4399 using Euclid's Algorithm?
Answer: For arbitrary numbers 8210, 4399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.