Highest Common Factor of 6851, 820 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 6851, 820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6851, 820 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 6851, 820 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 6851, 820 is 1.
HCF(6851, 820) = 1
HCF of 6851, 820 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6851, 820 is 1.
Highest Common Factor of 6851,820 is 1
Step 1: Since 6851 > 820, we apply the division lemma to 6851 and 820, to get
6851 = 820 x 8 + 291
Step 2: Since the reminder 820 ≠ 0, we apply division lemma to 291 and 820, to get
820 = 291 x 2 + 238
Step 3: We consider the new divisor 291 and the new remainder 238, and apply the division lemma to get
291 = 238 x 1 + 53
We consider the new divisor 238 and the new remainder 53,and apply the division lemma to get
238 = 53 x 4 + 26
We consider the new divisor 53 and the new remainder 26,and apply the division lemma to get
53 = 26 x 2 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6851 and 820 is 1
Notice that 1 = HCF(26,1) = HCF(53,26) = HCF(238,53) = HCF(291,238) = HCF(820,291) = HCF(6851,820) .
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Frequently Asked Questions on HCF of 6851, 820 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 6851, 820?
Answer: HCF of 6851, 820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6851, 820 using Euclid's Algorithm?
Answer: For arbitrary numbers 6851, 820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.