Highest Common Factor of 726, 5383 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 726, 5383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 726, 5383 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 726, 5383 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 726, 5383 is 1.
HCF(726, 5383) = 1
HCF of 726, 5383 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 726, 5383 is 1.
Highest Common Factor of 726,5383 is 1
Step 1: Since 5383 > 726, we apply the division lemma to 5383 and 726, to get
5383 = 726 x 7 + 301
Step 2: Since the reminder 726 ≠ 0, we apply division lemma to 301 and 726, to get
726 = 301 x 2 + 124
Step 3: We consider the new divisor 301 and the new remainder 124, and apply the division lemma to get
301 = 124 x 2 + 53
We consider the new divisor 124 and the new remainder 53,and apply the division lemma to get
124 = 53 x 2 + 18
We consider the new divisor 53 and the new remainder 18,and apply the division lemma to get
53 = 18 x 2 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 726 and 5383 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(53,18) = HCF(124,53) = HCF(301,124) = HCF(726,301) = HCF(5383,726) .
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Frequently Asked Questions on HCF of 726, 5383 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 726, 5383?
Answer: HCF of 726, 5383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 726, 5383 using Euclid's Algorithm?
Answer: For arbitrary numbers 726, 5383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.