Highest Common Factor of 4579, 5728 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 4579, 5728 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4579, 5728 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 4579, 5728 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 4579, 5728 is 1.
HCF(4579, 5728) = 1
HCF of 4579, 5728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4579, 5728 is 1.
Highest Common Factor of 4579,5728 is 1
Step 1: Since 5728 > 4579, we apply the division lemma to 5728 and 4579, to get
5728 = 4579 x 1 + 1149
Step 2: Since the reminder 4579 ≠ 0, we apply division lemma to 1149 and 4579, to get
4579 = 1149 x 3 + 1132
Step 3: We consider the new divisor 1149 and the new remainder 1132, and apply the division lemma to get
1149 = 1132 x 1 + 17
We consider the new divisor 1132 and the new remainder 17,and apply the division lemma to get
1132 = 17 x 66 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4579 and 5728 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(1132,17) = HCF(1149,1132) = HCF(4579,1149) = HCF(5728,4579) .
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Frequently Asked Questions on HCF of 4579, 5728 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 4579, 5728?
Answer: HCF of 4579, 5728 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4579, 5728 using Euclid's Algorithm?
Answer: For arbitrary numbers 4579, 5728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.