Highest Common Factor of 8184, 6889 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 8184, 6889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8184, 6889 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 8184, 6889 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 8184, 6889 is 1.
HCF(8184, 6889) = 1
HCF of 8184, 6889 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8184, 6889 is 1.
Highest Common Factor of 8184,6889 is 1
Step 1: Since 8184 > 6889, we apply the division lemma to 8184 and 6889, to get
8184 = 6889 x 1 + 1295
Step 2: Since the reminder 6889 ≠ 0, we apply division lemma to 1295 and 6889, to get
6889 = 1295 x 5 + 414
Step 3: We consider the new divisor 1295 and the new remainder 414, and apply the division lemma to get
1295 = 414 x 3 + 53
We consider the new divisor 414 and the new remainder 53,and apply the division lemma to get
414 = 53 x 7 + 43
We consider the new divisor 53 and the new remainder 43,and apply the division lemma to get
53 = 43 x 1 + 10
We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get
43 = 10 x 4 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 8184 and 6889 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(53,43) = HCF(414,53) = HCF(1295,414) = HCF(6889,1295) = HCF(8184,6889) .
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Frequently Asked Questions on HCF of 8184, 6889 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 8184, 6889?
Answer: HCF of 8184, 6889 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8184, 6889 using Euclid's Algorithm?
Answer: For arbitrary numbers 8184, 6889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.