Highest Common Factor of 6824, 2711 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 6824, 2711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6824, 2711 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 6824, 2711 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 6824, 2711 is 1.
HCF(6824, 2711) = 1
HCF of 6824, 2711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6824, 2711 is 1.
Highest Common Factor of 6824,2711 is 1
Step 1: Since 6824 > 2711, we apply the division lemma to 6824 and 2711, to get
6824 = 2711 x 2 + 1402
Step 2: Since the reminder 2711 ≠ 0, we apply division lemma to 1402 and 2711, to get
2711 = 1402 x 1 + 1309
Step 3: We consider the new divisor 1402 and the new remainder 1309, and apply the division lemma to get
1402 = 1309 x 1 + 93
We consider the new divisor 1309 and the new remainder 93,and apply the division lemma to get
1309 = 93 x 14 + 7
We consider the new divisor 93 and the new remainder 7,and apply the division lemma to get
93 = 7 x 13 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6824 and 2711 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(93,7) = HCF(1309,93) = HCF(1402,1309) = HCF(2711,1402) = HCF(6824,2711) .
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Frequently Asked Questions on HCF of 6824, 2711 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 6824, 2711?
Answer: HCF of 6824, 2711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6824, 2711 using Euclid's Algorithm?
Answer: For arbitrary numbers 6824, 2711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.