Highest Common Factor of 2027, 6619 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 2027, 6619 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2027, 6619 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 2027, 6619 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 2027, 6619 is 1.
HCF(2027, 6619) = 1
HCF of 2027, 6619 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2027, 6619 is 1.
Highest Common Factor of 2027,6619 is 1
Step 1: Since 6619 > 2027, we apply the division lemma to 6619 and 2027, to get
6619 = 2027 x 3 + 538
Step 2: Since the reminder 2027 ≠ 0, we apply division lemma to 538 and 2027, to get
2027 = 538 x 3 + 413
Step 3: We consider the new divisor 538 and the new remainder 413, and apply the division lemma to get
538 = 413 x 1 + 125
We consider the new divisor 413 and the new remainder 125,and apply the division lemma to get
413 = 125 x 3 + 38
We consider the new divisor 125 and the new remainder 38,and apply the division lemma to get
125 = 38 x 3 + 11
We consider the new divisor 38 and the new remainder 11,and apply the division lemma to get
38 = 11 x 3 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 2027 and 6619 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(38,11) = HCF(125,38) = HCF(413,125) = HCF(538,413) = HCF(2027,538) = HCF(6619,2027) .
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Frequently Asked Questions on HCF of 2027, 6619 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 2027, 6619?
Answer: HCF of 2027, 6619 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2027, 6619 using Euclid's Algorithm?
Answer: For arbitrary numbers 2027, 6619 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.