Highest Common Factor of 9413, 3607 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 9413, 3607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9413, 3607 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 9413, 3607 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 9413, 3607 is 1.
HCF(9413, 3607) = 1
HCF of 9413, 3607 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9413, 3607 is 1.
Highest Common Factor of 9413,3607 is 1
Step 1: Since 9413 > 3607, we apply the division lemma to 9413 and 3607, to get
9413 = 3607 x 2 + 2199
Step 2: Since the reminder 3607 ≠ 0, we apply division lemma to 2199 and 3607, to get
3607 = 2199 x 1 + 1408
Step 3: We consider the new divisor 2199 and the new remainder 1408, and apply the division lemma to get
2199 = 1408 x 1 + 791
We consider the new divisor 1408 and the new remainder 791,and apply the division lemma to get
1408 = 791 x 1 + 617
We consider the new divisor 791 and the new remainder 617,and apply the division lemma to get
791 = 617 x 1 + 174
We consider the new divisor 617 and the new remainder 174,and apply the division lemma to get
617 = 174 x 3 + 95
We consider the new divisor 174 and the new remainder 95,and apply the division lemma to get
174 = 95 x 1 + 79
We consider the new divisor 95 and the new remainder 79,and apply the division lemma to get
95 = 79 x 1 + 16
We consider the new divisor 79 and the new remainder 16,and apply the division lemma to get
79 = 16 x 4 + 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 9413 and 3607 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(79,16) = HCF(95,79) = HCF(174,95) = HCF(617,174) = HCF(791,617) = HCF(1408,791) = HCF(2199,1408) = HCF(3607,2199) = HCF(9413,3607) .
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Frequently Asked Questions on HCF of 9413, 3607 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 9413, 3607?
Answer: HCF of 9413, 3607 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9413, 3607 using Euclid's Algorithm?
Answer: For arbitrary numbers 9413, 3607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.