Highest Common Factor of 9433, 5388 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 9433, 5388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9433, 5388 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 9433, 5388 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 9433, 5388 is 1.
HCF(9433, 5388) = 1
HCF of 9433, 5388 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9433, 5388 is 1.
Highest Common Factor of 9433,5388 is 1
Step 1: Since 9433 > 5388, we apply the division lemma to 9433 and 5388, to get
9433 = 5388 x 1 + 4045
Step 2: Since the reminder 5388 ≠ 0, we apply division lemma to 4045 and 5388, to get
5388 = 4045 x 1 + 1343
Step 3: We consider the new divisor 4045 and the new remainder 1343, and apply the division lemma to get
4045 = 1343 x 3 + 16
We consider the new divisor 1343 and the new remainder 16,and apply the division lemma to get
1343 = 16 x 83 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9433 and 5388 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(1343,16) = HCF(4045,1343) = HCF(5388,4045) = HCF(9433,5388) .
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Frequently Asked Questions on HCF of 9433, 5388 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 9433, 5388?
Answer: HCF of 9433, 5388 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9433, 5388 using Euclid's Algorithm?
Answer: For arbitrary numbers 9433, 5388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.