Highest Common Factor of 1388, 5933 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 1388, 5933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1388, 5933 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 1388, 5933 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 1388, 5933 is 1.
HCF(1388, 5933) = 1
HCF of 1388, 5933 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1388, 5933 is 1.
Highest Common Factor of 1388,5933 is 1
Step 1: Since 5933 > 1388, we apply the division lemma to 5933 and 1388, to get
5933 = 1388 x 4 + 381
Step 2: Since the reminder 1388 ≠ 0, we apply division lemma to 381 and 1388, to get
1388 = 381 x 3 + 245
Step 3: We consider the new divisor 381 and the new remainder 245, and apply the division lemma to get
381 = 245 x 1 + 136
We consider the new divisor 245 and the new remainder 136,and apply the division lemma to get
245 = 136 x 1 + 109
We consider the new divisor 136 and the new remainder 109,and apply the division lemma to get
136 = 109 x 1 + 27
We consider the new divisor 109 and the new remainder 27,and apply the division lemma to get
109 = 27 x 4 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1388 and 5933 is 1
Notice that 1 = HCF(27,1) = HCF(109,27) = HCF(136,109) = HCF(245,136) = HCF(381,245) = HCF(1388,381) = HCF(5933,1388) .
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Frequently Asked Questions on HCF of 1388, 5933 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 1388, 5933?
Answer: HCF of 1388, 5933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1388, 5933 using Euclid's Algorithm?
Answer: For arbitrary numbers 1388, 5933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.