Highest Common Factor of 743, 14666 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 743, 14666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 743, 14666 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 743, 14666 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 743, 14666 is 1.
HCF(743, 14666) = 1
HCF of 743, 14666 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 743, 14666 is 1.
Highest Common Factor of 743,14666 is 1
Step 1: Since 14666 > 743, we apply the division lemma to 14666 and 743, to get
14666 = 743 x 19 + 549
Step 2: Since the reminder 743 ≠ 0, we apply division lemma to 549 and 743, to get
743 = 549 x 1 + 194
Step 3: We consider the new divisor 549 and the new remainder 194, and apply the division lemma to get
549 = 194 x 2 + 161
We consider the new divisor 194 and the new remainder 161,and apply the division lemma to get
194 = 161 x 1 + 33
We consider the new divisor 161 and the new remainder 33,and apply the division lemma to get
161 = 33 x 4 + 29
We consider the new divisor 33 and the new remainder 29,and apply the division lemma to get
33 = 29 x 1 + 4
We consider the new divisor 29 and the new remainder 4,and apply the division lemma to get
29 = 4 x 7 + 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 743 and 14666 is 1
Notice that 1 = HCF(4,1) = HCF(29,4) = HCF(33,29) = HCF(161,33) = HCF(194,161) = HCF(549,194) = HCF(743,549) = HCF(14666,743) .
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Frequently Asked Questions on HCF of 743, 14666 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 743, 14666?
Answer: HCF of 743, 14666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 743, 14666 using Euclid's Algorithm?
Answer: For arbitrary numbers 743, 14666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.