Highest Common Factor of 6843, 1518 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 6843, 1518 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6843, 1518 is 3 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 6843, 1518 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 6843, 1518 is 3.
HCF(6843, 1518) = 3
HCF of 6843, 1518 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6843, 1518 is 3.
Highest Common Factor of 6843,1518 is 3
Step 1: Since 6843 > 1518, we apply the division lemma to 6843 and 1518, to get
6843 = 1518 x 4 + 771
Step 2: Since the reminder 1518 ≠ 0, we apply division lemma to 771 and 1518, to get
1518 = 771 x 1 + 747
Step 3: We consider the new divisor 771 and the new remainder 747, and apply the division lemma to get
771 = 747 x 1 + 24
We consider the new divisor 747 and the new remainder 24,and apply the division lemma to get
747 = 24 x 31 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6843 and 1518 is 3
Notice that 3 = HCF(24,3) = HCF(747,24) = HCF(771,747) = HCF(1518,771) = HCF(6843,1518) .
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Frequently Asked Questions on HCF of 6843, 1518 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 6843, 1518?
Answer: HCF of 6843, 1518 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6843, 1518 using Euclid's Algorithm?
Answer: For arbitrary numbers 6843, 1518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.