Highest Common Factor of 744, 3403 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 744, 3403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 3403 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 744, 3403 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 744, 3403 is 1.
HCF(744, 3403) = 1
HCF of 744, 3403 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 3403 is 1.
Highest Common Factor of 744,3403 is 1
Step 1: Since 3403 > 744, we apply the division lemma to 3403 and 744, to get
3403 = 744 x 4 + 427
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 427 and 744, to get
744 = 427 x 1 + 317
Step 3: We consider the new divisor 427 and the new remainder 317, and apply the division lemma to get
427 = 317 x 1 + 110
We consider the new divisor 317 and the new remainder 110,and apply the division lemma to get
317 = 110 x 2 + 97
We consider the new divisor 110 and the new remainder 97,and apply the division lemma to get
110 = 97 x 1 + 13
We consider the new divisor 97 and the new remainder 13,and apply the division lemma to get
97 = 13 x 7 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 744 and 3403 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(97,13) = HCF(110,97) = HCF(317,110) = HCF(427,317) = HCF(744,427) = HCF(3403,744) .
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Frequently Asked Questions on HCF of 744, 3403 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 744, 3403?
Answer: HCF of 744, 3403 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 3403 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 3403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.