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 2645, 8582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2645, 8582 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 2645, 8582 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 2645, 8582 is 1.
HCF(2645, 8582) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2645, 8582 is 1.
Step 1: Since 8582 > 2645, we apply the division lemma to 8582 and 2645, to get
8582 = 2645 x 3 + 647
Step 2: Since the reminder 2645 ≠ 0, we apply division lemma to 647 and 2645, to get
2645 = 647 x 4 + 57
Step 3: We consider the new divisor 647 and the new remainder 57, and apply the division lemma to get
647 = 57 x 11 + 20
We consider the new divisor 57 and the new remainder 20,and apply the division lemma to get
57 = 20 x 2 + 17
We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get
20 = 17 x 1 + 3
We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get
17 = 3 x 5 + 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 2645 and 8582 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(57,20) = HCF(647,57) = HCF(2645,647) = HCF(8582,2645) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 2645, 8582?
Answer: HCF of 2645, 8582 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2645, 8582 using Euclid's Algorithm?
Answer: For arbitrary numbers 2645, 8582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.