Highest Common Factor of 327, 22083 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, 22083 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 327, 22083 is 3 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, 22083 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, 22083 is 3.
HCF(327, 22083) = 3
HCF of 327, 22083 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, 22083 is 3.
Highest Common Factor of 327,22083 is 3
Step 1: Since 22083 > 327, we apply the division lemma to 22083 and 327, to get
22083 = 327 x 67 + 174
Step 2: Since the reminder 327 ≠ 0, we apply division lemma to 174 and 327, to get
327 = 174 x 1 + 153
Step 3: We consider the new divisor 174 and the new remainder 153, and apply the division lemma to get
174 = 153 x 1 + 21
We consider the new divisor 153 and the new remainder 21,and apply the division lemma to get
153 = 21 x 7 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 327 and 22083 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(153,21) = HCF(174,153) = HCF(327,174) = HCF(22083,327) .
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Frequently Asked Questions on HCF of 327, 22083 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, 22083?
Answer: HCF of 327, 22083 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 327, 22083 using Euclid's Algorithm?
Answer: For arbitrary numbers 327, 22083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.