Highest Common Factor of 1547, 6806 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 1547, 6806 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1547, 6806 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 1547, 6806 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 1547, 6806 is 1.
HCF(1547, 6806) = 1
HCF of 1547, 6806 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1547, 6806 is 1.
Highest Common Factor of 1547,6806 is 1
Step 1: Since 6806 > 1547, we apply the division lemma to 6806 and 1547, to get
6806 = 1547 x 4 + 618
Step 2: Since the reminder 1547 ≠ 0, we apply division lemma to 618 and 1547, to get
1547 = 618 x 2 + 311
Step 3: We consider the new divisor 618 and the new remainder 311, and apply the division lemma to get
618 = 311 x 1 + 307
We consider the new divisor 311 and the new remainder 307,and apply the division lemma to get
311 = 307 x 1 + 4
We consider the new divisor 307 and the new remainder 4,and apply the division lemma to get
307 = 4 x 76 + 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 1547 and 6806 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(307,4) = HCF(311,307) = HCF(618,311) = HCF(1547,618) = HCF(6806,1547) .
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Frequently Asked Questions on HCF of 1547, 6806 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 1547, 6806?
Answer: HCF of 1547, 6806 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1547, 6806 using Euclid's Algorithm?
Answer: For arbitrary numbers 1547, 6806 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
