Highest Common Factor of 5752, 9339 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 5752, 9339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5752, 9339 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 5752, 9339 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 5752, 9339 is 1.
HCF(5752, 9339) = 1
HCF of 5752, 9339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5752, 9339 is 1.
Highest Common Factor of 5752,9339 is 1
Step 1: Since 9339 > 5752, we apply the division lemma to 9339 and 5752, to get
9339 = 5752 x 1 + 3587
Step 2: Since the reminder 5752 ≠ 0, we apply division lemma to 3587 and 5752, to get
5752 = 3587 x 1 + 2165
Step 3: We consider the new divisor 3587 and the new remainder 2165, and apply the division lemma to get
3587 = 2165 x 1 + 1422
We consider the new divisor 2165 and the new remainder 1422,and apply the division lemma to get
2165 = 1422 x 1 + 743
We consider the new divisor 1422 and the new remainder 743,and apply the division lemma to get
1422 = 743 x 1 + 679
We consider the new divisor 743 and the new remainder 679,and apply the division lemma to get
743 = 679 x 1 + 64
We consider the new divisor 679 and the new remainder 64,and apply the division lemma to get
679 = 64 x 10 + 39
We consider the new divisor 64 and the new remainder 39,and apply the division lemma to get
64 = 39 x 1 + 25
We consider the new divisor 39 and the new remainder 25,and apply the division lemma to get
39 = 25 x 1 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5752 and 9339 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(39,25) = HCF(64,39) = HCF(679,64) = HCF(743,679) = HCF(1422,743) = HCF(2165,1422) = HCF(3587,2165) = HCF(5752,3587) = HCF(9339,5752) .
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Frequently Asked Questions on HCF of 5752, 9339 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 5752, 9339?
Answer: HCF of 5752, 9339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5752, 9339 using Euclid's Algorithm?
Answer: For arbitrary numbers 5752, 9339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.