Highest Common Factor of 6873, 8010 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 6873, 8010 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6873, 8010 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 6873, 8010 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 6873, 8010 is 3.
HCF(6873, 8010) = 3
HCF of 6873, 8010 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6873, 8010 is 3.
Highest Common Factor of 6873,8010 is 3
Step 1: Since 8010 > 6873, we apply the division lemma to 8010 and 6873, to get
8010 = 6873 x 1 + 1137
Step 2: Since the reminder 6873 ≠ 0, we apply division lemma to 1137 and 6873, to get
6873 = 1137 x 6 + 51
Step 3: We consider the new divisor 1137 and the new remainder 51, and apply the division lemma to get
1137 = 51 x 22 + 15
We consider the new divisor 51 and the new remainder 15,and apply the division lemma to get
51 = 15 x 3 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6873 and 8010 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(51,15) = HCF(1137,51) = HCF(6873,1137) = HCF(8010,6873) .
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Frequently Asked Questions on HCF of 6873, 8010 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 6873, 8010?
Answer: HCF of 6873, 8010 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6873, 8010 using Euclid's Algorithm?
Answer: For arbitrary numbers 6873, 8010 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.