Highest Common Factor of 9634, 7453 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 9634, 7453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9634, 7453 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 9634, 7453 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 9634, 7453 is 1.
HCF(9634, 7453) = 1
HCF of 9634, 7453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9634, 7453 is 1.
Highest Common Factor of 9634,7453 is 1
Step 1: Since 9634 > 7453, we apply the division lemma to 9634 and 7453, to get
9634 = 7453 x 1 + 2181
Step 2: Since the reminder 7453 ≠ 0, we apply division lemma to 2181 and 7453, to get
7453 = 2181 x 3 + 910
Step 3: We consider the new divisor 2181 and the new remainder 910, and apply the division lemma to get
2181 = 910 x 2 + 361
We consider the new divisor 910 and the new remainder 361,and apply the division lemma to get
910 = 361 x 2 + 188
We consider the new divisor 361 and the new remainder 188,and apply the division lemma to get
361 = 188 x 1 + 173
We consider the new divisor 188 and the new remainder 173,and apply the division lemma to get
188 = 173 x 1 + 15
We consider the new divisor 173 and the new remainder 15,and apply the division lemma to get
173 = 15 x 11 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9634 and 7453 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(173,15) = HCF(188,173) = HCF(361,188) = HCF(910,361) = HCF(2181,910) = HCF(7453,2181) = HCF(9634,7453) .
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Frequently Asked Questions on HCF of 9634, 7453 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 9634, 7453?
Answer: HCF of 9634, 7453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9634, 7453 using Euclid's Algorithm?
Answer: For arbitrary numbers 9634, 7453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.