Highest Common Factor of 3627, 570 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 3627, 570 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3627, 570 is 3 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 3627, 570 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 3627, 570 is 3.
HCF(3627, 570) = 3
HCF of 3627, 570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3627, 570 is 3.
Highest Common Factor of 3627,570 is 3
Step 1: Since 3627 > 570, we apply the division lemma to 3627 and 570, to get
3627 = 570 x 6 + 207
Step 2: Since the reminder 570 ≠ 0, we apply division lemma to 207 and 570, to get
570 = 207 x 2 + 156
Step 3: We consider the new divisor 207 and the new remainder 156, and apply the division lemma to get
207 = 156 x 1 + 51
We consider the new divisor 156 and the new remainder 51,and apply the division lemma to get
156 = 51 x 3 + 3
We consider the new divisor 51 and the new remainder 3,and apply the division lemma to get
51 = 3 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3627 and 570 is 3
Notice that 3 = HCF(51,3) = HCF(156,51) = HCF(207,156) = HCF(570,207) = HCF(3627,570) .
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Frequently Asked Questions on HCF of 3627, 570 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 3627, 570?
Answer: HCF of 3627, 570 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3627, 570 using Euclid's Algorithm?
Answer: For arbitrary numbers 3627, 570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.