Highest Common Factor of 1645, 2633 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 1645, 2633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1645, 2633 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 1645, 2633 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 1645, 2633 is 1.
HCF(1645, 2633) = 1
HCF of 1645, 2633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1645, 2633 is 1.
Highest Common Factor of 1645,2633 is 1
Step 1: Since 2633 > 1645, we apply the division lemma to 2633 and 1645, to get
2633 = 1645 x 1 + 988
Step 2: Since the reminder 1645 ≠ 0, we apply division lemma to 988 and 1645, to get
1645 = 988 x 1 + 657
Step 3: We consider the new divisor 988 and the new remainder 657, and apply the division lemma to get
988 = 657 x 1 + 331
We consider the new divisor 657 and the new remainder 331,and apply the division lemma to get
657 = 331 x 1 + 326
We consider the new divisor 331 and the new remainder 326,and apply the division lemma to get
331 = 326 x 1 + 5
We consider the new divisor 326 and the new remainder 5,and apply the division lemma to get
326 = 5 x 65 + 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 1645 and 2633 is 1
Notice that 1 = HCF(5,1) = HCF(326,5) = HCF(331,326) = HCF(657,331) = HCF(988,657) = HCF(1645,988) = HCF(2633,1645) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1645, 2633 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 1645, 2633?
Answer: HCF of 1645, 2633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1645, 2633 using Euclid's Algorithm?
Answer: For arbitrary numbers 1645, 2633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.