Highest Common Factor of 6189, 5323 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 6189, 5323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6189, 5323 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 6189, 5323 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 6189, 5323 is 1.
HCF(6189, 5323) = 1
HCF of 6189, 5323 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6189, 5323 is 1.
Highest Common Factor of 6189,5323 is 1
Step 1: Since 6189 > 5323, we apply the division lemma to 6189 and 5323, to get
6189 = 5323 x 1 + 866
Step 2: Since the reminder 5323 ≠ 0, we apply division lemma to 866 and 5323, to get
5323 = 866 x 6 + 127
Step 3: We consider the new divisor 866 and the new remainder 127, and apply the division lemma to get
866 = 127 x 6 + 104
We consider the new divisor 127 and the new remainder 104,and apply the division lemma to get
127 = 104 x 1 + 23
We consider the new divisor 104 and the new remainder 23,and apply the division lemma to get
104 = 23 x 4 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6189 and 5323 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(104,23) = HCF(127,104) = HCF(866,127) = HCF(5323,866) = HCF(6189,5323) .
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Frequently Asked Questions on HCF of 6189, 5323 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 6189, 5323?
Answer: HCF of 6189, 5323 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6189, 5323 using Euclid's Algorithm?
Answer: For arbitrary numbers 6189, 5323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.