Highest Common Factor of 327, 8243 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 327, 8243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 327, 8243 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 327, 8243 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 327, 8243 is 1.
HCF(327, 8243) = 1
HCF of 327, 8243 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 327, 8243 is 1.
Highest Common Factor of 327,8243 is 1
Step 1: Since 8243 > 327, we apply the division lemma to 8243 and 327, to get
8243 = 327 x 25 + 68
Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 68 and 327, to get
327 = 68 x 4 + 55
Step 3: We consider the new divisor 68 and the new remainder 55, and apply the division lemma to get
68 = 55 x 1 + 13
We consider the new divisor 55 and the new remainder 13,and apply the division lemma to get
55 = 13 x 4 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 327 and 8243 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(55,13) = HCF(68,55) = HCF(327,68) = HCF(8243,327) .
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Frequently Asked Questions on HCF of 327, 8243 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 327, 8243?
Answer: HCF of 327, 8243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 327, 8243 using Euclid's Algorithm?
Answer: For arbitrary numbers 327, 8243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.