Highest Common Factor of 7533, 3407 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 7533, 3407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7533, 3407 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 7533, 3407 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 7533, 3407 is 1.
HCF(7533, 3407) = 1
HCF of 7533, 3407 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7533, 3407 is 1.
Highest Common Factor of 7533,3407 is 1
Step 1: Since 7533 > 3407, we apply the division lemma to 7533 and 3407, to get
7533 = 3407 x 2 + 719
Step 2: Since the reminder 3407 ≠ 0, we apply division lemma to 719 and 3407, to get
3407 = 719 x 4 + 531
Step 3: We consider the new divisor 719 and the new remainder 531, and apply the division lemma to get
719 = 531 x 1 + 188
We consider the new divisor 531 and the new remainder 188,and apply the division lemma to get
531 = 188 x 2 + 155
We consider the new divisor 188 and the new remainder 155,and apply the division lemma to get
188 = 155 x 1 + 33
We consider the new divisor 155 and the new remainder 33,and apply the division lemma to get
155 = 33 x 4 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 7533 and 3407 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(155,33) = HCF(188,155) = HCF(531,188) = HCF(719,531) = HCF(3407,719) = HCF(7533,3407) .
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Frequently Asked Questions on HCF of 7533, 3407 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 7533, 3407?
Answer: HCF of 7533, 3407 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7533, 3407 using Euclid's Algorithm?
Answer: For arbitrary numbers 7533, 3407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.