Highest Common Factor of 3802, 1593 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 3802, 1593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3802, 1593 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 3802, 1593 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 3802, 1593 is 1.
HCF(3802, 1593) = 1
HCF of 3802, 1593 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3802, 1593 is 1.
Highest Common Factor of 3802,1593 is 1
Step 1: Since 3802 > 1593, we apply the division lemma to 3802 and 1593, to get
3802 = 1593 x 2 + 616
Step 2: Since the reminder 1593 ≠ 0, we apply division lemma to 616 and 1593, to get
1593 = 616 x 2 + 361
Step 3: We consider the new divisor 616 and the new remainder 361, and apply the division lemma to get
616 = 361 x 1 + 255
We consider the new divisor 361 and the new remainder 255,and apply the division lemma to get
361 = 255 x 1 + 106
We consider the new divisor 255 and the new remainder 106,and apply the division lemma to get
255 = 106 x 2 + 43
We consider the new divisor 106 and the new remainder 43,and apply the division lemma to get
106 = 43 x 2 + 20
We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get
43 = 20 x 2 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3802 and 1593 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(106,43) = HCF(255,106) = HCF(361,255) = HCF(616,361) = HCF(1593,616) = HCF(3802,1593) .
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Frequently Asked Questions on HCF of 3802, 1593 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 3802, 1593?
Answer: HCF of 3802, 1593 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3802, 1593 using Euclid's Algorithm?
Answer: For arbitrary numbers 3802, 1593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.