Highest Common Factor of 2535, 3836 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 2535, 3836 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2535, 3836 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 2535, 3836 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 2535, 3836 is 1.
HCF(2535, 3836) = 1
HCF of 2535, 3836 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2535, 3836 is 1.
Highest Common Factor of 2535,3836 is 1
Step 1: Since 3836 > 2535, we apply the division lemma to 3836 and 2535, to get
3836 = 2535 x 1 + 1301
Step 2: Since the reminder 2535 ≠ 0, we apply division lemma to 1301 and 2535, to get
2535 = 1301 x 1 + 1234
Step 3: We consider the new divisor 1301 and the new remainder 1234, and apply the division lemma to get
1301 = 1234 x 1 + 67
We consider the new divisor 1234 and the new remainder 67,and apply the division lemma to get
1234 = 67 x 18 + 28
We consider the new divisor 67 and the new remainder 28,and apply the division lemma to get
67 = 28 x 2 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2535 and 3836 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(67,28) = HCF(1234,67) = HCF(1301,1234) = HCF(2535,1301) = HCF(3836,2535) .
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Frequently Asked Questions on HCF of 2535, 3836 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 2535, 3836?
Answer: HCF of 2535, 3836 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2535, 3836 using Euclid's Algorithm?
Answer: For arbitrary numbers 2535, 3836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.