Highest Common Factor of 3728, 5796 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 3728, 5796 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3728, 5796 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 3728, 5796 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 3728, 5796 is 4.
HCF(3728, 5796) = 4
HCF of 3728, 5796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3728, 5796 is 4.
Highest Common Factor of 3728,5796 is 4
Step 1: Since 5796 > 3728, we apply the division lemma to 5796 and 3728, to get
5796 = 3728 x 1 + 2068
Step 2: Since the reminder 3728 ≠ 0, we apply division lemma to 2068 and 3728, to get
3728 = 2068 x 1 + 1660
Step 3: We consider the new divisor 2068 and the new remainder 1660, and apply the division lemma to get
2068 = 1660 x 1 + 408
We consider the new divisor 1660 and the new remainder 408,and apply the division lemma to get
1660 = 408 x 4 + 28
We consider the new divisor 408 and the new remainder 28,and apply the division lemma to get
408 = 28 x 14 + 16
We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get
28 = 16 x 1 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3728 and 5796 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(408,28) = HCF(1660,408) = HCF(2068,1660) = HCF(3728,2068) = HCF(5796,3728) .
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Frequently Asked Questions on HCF of 3728, 5796 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 3728, 5796?
Answer: HCF of 3728, 5796 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3728, 5796 using Euclid's Algorithm?
Answer: For arbitrary numbers 3728, 5796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
