Highest Common Factor of 4256, 723 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 4256, 723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4256, 723 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 4256, 723 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 4256, 723 is 1.
HCF(4256, 723) = 1
HCF of 4256, 723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4256, 723 is 1.
Highest Common Factor of 4256,723 is 1
Step 1: Since 4256 > 723, we apply the division lemma to 4256 and 723, to get
4256 = 723 x 5 + 641
Step 2: Since the reminder 723 ≠ 0, we apply division lemma to 641 and 723, to get
723 = 641 x 1 + 82
Step 3: We consider the new divisor 641 and the new remainder 82, and apply the division lemma to get
641 = 82 x 7 + 67
We consider the new divisor 82 and the new remainder 67,and apply the division lemma to get
82 = 67 x 1 + 15
We consider the new divisor 67 and the new remainder 15,and apply the division lemma to get
67 = 15 x 4 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4256 and 723 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(67,15) = HCF(82,67) = HCF(641,82) = HCF(723,641) = HCF(4256,723) .
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Frequently Asked Questions on HCF of 4256, 723 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 4256, 723?
Answer: HCF of 4256, 723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4256, 723 using Euclid's Algorithm?
Answer: For arbitrary numbers 4256, 723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.