Highest Common Factor of 1595, 3529 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 1595, 3529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1595, 3529 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 1595, 3529 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 1595, 3529 is 1.
HCF(1595, 3529) = 1
HCF of 1595, 3529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1595, 3529 is 1.
Highest Common Factor of 1595,3529 is 1
Step 1: Since 3529 > 1595, we apply the division lemma to 3529 and 1595, to get
3529 = 1595 x 2 + 339
Step 2: Since the reminder 1595 ≠ 0, we apply division lemma to 339 and 1595, to get
1595 = 339 x 4 + 239
Step 3: We consider the new divisor 339 and the new remainder 239, and apply the division lemma to get
339 = 239 x 1 + 100
We consider the new divisor 239 and the new remainder 100,and apply the division lemma to get
239 = 100 x 2 + 39
We consider the new divisor 100 and the new remainder 39,and apply the division lemma to get
100 = 39 x 2 + 22
We consider the new divisor 39 and the new remainder 22,and apply the division lemma to get
39 = 22 x 1 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 1595 and 3529 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(39,22) = HCF(100,39) = HCF(239,100) = HCF(339,239) = HCF(1595,339) = HCF(3529,1595) .
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Frequently Asked Questions on HCF of 1595, 3529 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 1595, 3529?
Answer: HCF of 1595, 3529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1595, 3529 using Euclid's Algorithm?
Answer: For arbitrary numbers 1595, 3529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.