Highest Common Factor of 5888, 6193 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 5888, 6193 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5888, 6193 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 5888, 6193 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 5888, 6193 is 1.
HCF(5888, 6193) = 1
HCF of 5888, 6193 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5888, 6193 is 1.
Highest Common Factor of 5888,6193 is 1
Step 1: Since 6193 > 5888, we apply the division lemma to 6193 and 5888, to get
6193 = 5888 x 1 + 305
Step 2: Since the reminder 5888 ≠ 0, we apply division lemma to 305 and 5888, to get
5888 = 305 x 19 + 93
Step 3: We consider the new divisor 305 and the new remainder 93, and apply the division lemma to get
305 = 93 x 3 + 26
We consider the new divisor 93 and the new remainder 26,and apply the division lemma to get
93 = 26 x 3 + 15
We consider the new divisor 26 and the new remainder 15,and apply the division lemma to get
26 = 15 x 1 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 5888 and 6193 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(26,15) = HCF(93,26) = HCF(305,93) = HCF(5888,305) = HCF(6193,5888) .
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Frequently Asked Questions on HCF of 5888, 6193 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 5888, 6193?
Answer: HCF of 5888, 6193 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5888, 6193 using Euclid's Algorithm?
Answer: For arbitrary numbers 5888, 6193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.