Highest Common Factor of 333, 6223 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 333, 6223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 333, 6223 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 333, 6223 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 333, 6223 is 1.
HCF(333, 6223) = 1
HCF of 333, 6223 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 333, 6223 is 1.
Highest Common Factor of 333,6223 is 1
Step 1: Since 6223 > 333, we apply the division lemma to 6223 and 333, to get
6223 = 333 x 18 + 229
Step 2: Since the reminder 333 ≠ 0, we apply division lemma to 229 and 333, to get
333 = 229 x 1 + 104
Step 3: We consider the new divisor 229 and the new remainder 104, and apply the division lemma to get
229 = 104 x 2 + 21
We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get
104 = 21 x 4 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 333 and 6223 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(229,104) = HCF(333,229) = HCF(6223,333) .
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Frequently Asked Questions on HCF of 333, 6223 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 333, 6223?
Answer: HCF of 333, 6223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 333, 6223 using Euclid's Algorithm?
Answer: For arbitrary numbers 333, 6223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.