Highest Common Factor of 9521, 7467 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 9521, 7467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9521, 7467 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 9521, 7467 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 9521, 7467 is 1.
HCF(9521, 7467) = 1
HCF of 9521, 7467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9521, 7467 is 1.
Highest Common Factor of 9521,7467 is 1
Step 1: Since 9521 > 7467, we apply the division lemma to 9521 and 7467, to get
9521 = 7467 x 1 + 2054
Step 2: Since the reminder 7467 ≠ 0, we apply division lemma to 2054 and 7467, to get
7467 = 2054 x 3 + 1305
Step 3: We consider the new divisor 2054 and the new remainder 1305, and apply the division lemma to get
2054 = 1305 x 1 + 749
We consider the new divisor 1305 and the new remainder 749,and apply the division lemma to get
1305 = 749 x 1 + 556
We consider the new divisor 749 and the new remainder 556,and apply the division lemma to get
749 = 556 x 1 + 193
We consider the new divisor 556 and the new remainder 193,and apply the division lemma to get
556 = 193 x 2 + 170
We consider the new divisor 193 and the new remainder 170,and apply the division lemma to get
193 = 170 x 1 + 23
We consider the new divisor 170 and the new remainder 23,and apply the division lemma to get
170 = 23 x 7 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9521 and 7467 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(170,23) = HCF(193,170) = HCF(556,193) = HCF(749,556) = HCF(1305,749) = HCF(2054,1305) = HCF(7467,2054) = HCF(9521,7467) .
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Frequently Asked Questions on HCF of 9521, 7467 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 9521, 7467?
Answer: HCF of 9521, 7467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9521, 7467 using Euclid's Algorithm?
Answer: For arbitrary numbers 9521, 7467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.