Highest Common Factor of 4223, 2683 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 4223, 2683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4223, 2683 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 4223, 2683 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 4223, 2683 is 1.
HCF(4223, 2683) = 1
HCF of 4223, 2683 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4223, 2683 is 1.
Highest Common Factor of 4223,2683 is 1
Step 1: Since 4223 > 2683, we apply the division lemma to 4223 and 2683, to get
4223 = 2683 x 1 + 1540
Step 2: Since the reminder 2683 ≠ 0, we apply division lemma to 1540 and 2683, to get
2683 = 1540 x 1 + 1143
Step 3: We consider the new divisor 1540 and the new remainder 1143, and apply the division lemma to get
1540 = 1143 x 1 + 397
We consider the new divisor 1143 and the new remainder 397,and apply the division lemma to get
1143 = 397 x 2 + 349
We consider the new divisor 397 and the new remainder 349,and apply the division lemma to get
397 = 349 x 1 + 48
We consider the new divisor 349 and the new remainder 48,and apply the division lemma to get
349 = 48 x 7 + 13
We consider the new divisor 48 and the new remainder 13,and apply the division lemma to get
48 = 13 x 3 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4223 and 2683 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) = HCF(349,48) = HCF(397,349) = HCF(1143,397) = HCF(1540,1143) = HCF(2683,1540) = HCF(4223,2683) .
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Frequently Asked Questions on HCF of 4223, 2683 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 4223, 2683?
Answer: HCF of 4223, 2683 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4223, 2683 using Euclid's Algorithm?
Answer: For arbitrary numbers 4223, 2683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.