Highest Common Factor of 645, 15046 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 645, 15046 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 645, 15046 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 645, 15046 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 645, 15046 is 1.
HCF(645, 15046) = 1
HCF of 645, 15046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 645, 15046 is 1.
Highest Common Factor of 645,15046 is 1
Step 1: Since 15046 > 645, we apply the division lemma to 15046 and 645, to get
15046 = 645 x 23 + 211
Step 2: Since the reminder 645 ≠ 0, we apply division lemma to 211 and 645, to get
645 = 211 x 3 + 12
Step 3: We consider the new divisor 211 and the new remainder 12, and apply the division lemma to get
211 = 12 x 17 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 645 and 15046 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(211,12) = HCF(645,211) = HCF(15046,645) .
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Frequently Asked Questions on HCF of 645, 15046 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 645, 15046?
Answer: HCF of 645, 15046 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 645, 15046 using Euclid's Algorithm?
Answer: For arbitrary numbers 645, 15046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.