Highest Common Factor of 6820, 3027 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 6820, 3027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6820, 3027 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 6820, 3027 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 6820, 3027 is 1.
HCF(6820, 3027) = 1
HCF of 6820, 3027 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6820, 3027 is 1.
Highest Common Factor of 6820,3027 is 1
Step 1: Since 6820 > 3027, we apply the division lemma to 6820 and 3027, to get
6820 = 3027 x 2 + 766
Step 2: Since the reminder 3027 ≠ 0, we apply division lemma to 766 and 3027, to get
3027 = 766 x 3 + 729
Step 3: We consider the new divisor 766 and the new remainder 729, and apply the division lemma to get
766 = 729 x 1 + 37
We consider the new divisor 729 and the new remainder 37,and apply the division lemma to get
729 = 37 x 19 + 26
We consider the new divisor 37 and the new remainder 26,and apply the division lemma to get
37 = 26 x 1 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6820 and 3027 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(729,37) = HCF(766,729) = HCF(3027,766) = HCF(6820,3027) .
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Frequently Asked Questions on HCF of 6820, 3027 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 6820, 3027?
Answer: HCF of 6820, 3027 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6820, 3027 using Euclid's Algorithm?
Answer: For arbitrary numbers 6820, 3027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.