Highest Common Factor of 1588, 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 1588, 5728 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1588, 5728 is 4 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 1588, 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 1588, 5728 is 4.
HCF(1588, 5728) = 4
HCF of 1588, 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 1588, 5728 is 4.
Highest Common Factor of 1588,5728 is 4
Step 1: Since 5728 > 1588, we apply the division lemma to 5728 and 1588, to get
5728 = 1588 x 3 + 964
Step 2: Since the reminder 1588 ≠ 0, we apply division lemma to 964 and 1588, to get
1588 = 964 x 1 + 624
Step 3: We consider the new divisor 964 and the new remainder 624, and apply the division lemma to get
964 = 624 x 1 + 340
We consider the new divisor 624 and the new remainder 340,and apply the division lemma to get
624 = 340 x 1 + 284
We consider the new divisor 340 and the new remainder 284,and apply the division lemma to get
340 = 284 x 1 + 56
We consider the new divisor 284 and the new remainder 56,and apply the division lemma to get
284 = 56 x 5 + 4
We consider the new divisor 56 and the new remainder 4,and apply the division lemma to get
56 = 4 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1588 and 5728 is 4
Notice that 4 = HCF(56,4) = HCF(284,56) = HCF(340,284) = HCF(624,340) = HCF(964,624) = HCF(1588,964) = HCF(5728,1588) .
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Frequently Asked Questions on HCF of 1588, 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 1588, 5728?
Answer: HCF of 1588, 5728 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1588, 5728 using Euclid's Algorithm?
Answer: For arbitrary numbers 1588, 5728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.