Highest Common Factor of 2645, 5495 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 2645, 5495 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 2645, 5495 is 5 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, 5495 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, 5495 is 5.
HCF(2645, 5495) = 5
HCF of 2645, 5495 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2645, 5495 is 5.
Highest Common Factor of 2645,5495 is 5
Step 1: Since 5495 > 2645, we apply the division lemma to 5495 and 2645, to get
5495 = 2645 x 2 + 205
Step 2: Since the reminder 2645 ≠ 0, we apply division lemma to 205 and 2645, to get
2645 = 205 x 12 + 185
Step 3: We consider the new divisor 205 and the new remainder 185, and apply the division lemma to get
205 = 185 x 1 + 20
We consider the new divisor 185 and the new remainder 20,and apply the division lemma to get
185 = 20 x 9 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 2645 and 5495 is 5
Notice that 5 = HCF(20,5) = HCF(185,20) = HCF(205,185) = HCF(2645,205) = HCF(5495,2645) .
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Frequently Asked Questions on HCF of 2645, 5495 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 2645, 5495?
Answer: HCF of 2645, 5495 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2645, 5495 using Euclid's Algorithm?
Answer: For arbitrary numbers 2645, 5495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.