Highest Common Factor of 9604, 5395 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 9604, 5395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9604, 5395 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 9604, 5395 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 9604, 5395 is 1.
HCF(9604, 5395) = 1
HCF of 9604, 5395 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9604, 5395 is 1.
Highest Common Factor of 9604,5395 is 1
Step 1: Since 9604 > 5395, we apply the division lemma to 9604 and 5395, to get
9604 = 5395 x 1 + 4209
Step 2: Since the reminder 5395 ≠ 0, we apply division lemma to 4209 and 5395, to get
5395 = 4209 x 1 + 1186
Step 3: We consider the new divisor 4209 and the new remainder 1186, and apply the division lemma to get
4209 = 1186 x 3 + 651
We consider the new divisor 1186 and the new remainder 651,and apply the division lemma to get
1186 = 651 x 1 + 535
We consider the new divisor 651 and the new remainder 535,and apply the division lemma to get
651 = 535 x 1 + 116
We consider the new divisor 535 and the new remainder 116,and apply the division lemma to get
535 = 116 x 4 + 71
We consider the new divisor 116 and the new remainder 71,and apply the division lemma to get
116 = 71 x 1 + 45
We consider the new divisor 71 and the new remainder 45,and apply the division lemma to get
71 = 45 x 1 + 26
We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get
45 = 26 x 1 + 19
We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get
26 = 19 x 1 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 9604 and 5395 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(71,45) = HCF(116,71) = HCF(535,116) = HCF(651,535) = HCF(1186,651) = HCF(4209,1186) = HCF(5395,4209) = HCF(9604,5395) .
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Frequently Asked Questions on HCF of 9604, 5395 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 9604, 5395?
Answer: HCF of 9604, 5395 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9604, 5395 using Euclid's Algorithm?
Answer: For arbitrary numbers 9604, 5395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
