Highest Common Factor of 2635, 3083 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 2635, 3083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2635, 3083 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 2635, 3083 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 2635, 3083 is 1.
HCF(2635, 3083) = 1
HCF of 2635, 3083 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2635, 3083 is 1.
Highest Common Factor of 2635,3083 is 1
Step 1: Since 3083 > 2635, we apply the division lemma to 3083 and 2635, to get
3083 = 2635 x 1 + 448
Step 2: Since the reminder 2635 ≠ 0, we apply division lemma to 448 and 2635, to get
2635 = 448 x 5 + 395
Step 3: We consider the new divisor 448 and the new remainder 395, and apply the division lemma to get
448 = 395 x 1 + 53
We consider the new divisor 395 and the new remainder 53,and apply the division lemma to get
395 = 53 x 7 + 24
We consider the new divisor 53 and the new remainder 24,and apply the division lemma to get
53 = 24 x 2 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2635 and 3083 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(53,24) = HCF(395,53) = HCF(448,395) = HCF(2635,448) = HCF(3083,2635) .
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Frequently Asked Questions on HCF of 2635, 3083 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 2635, 3083?
Answer: HCF of 2635, 3083 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2635, 3083 using Euclid's Algorithm?
Answer: For arbitrary numbers 2635, 3083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.