Highest Common Factor of 8453, 9608, 36175 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 8453, 9608, 36175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8453, 9608, 36175 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 8453, 9608, 36175 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 8453, 9608, 36175 is 1.
HCF(8453, 9608, 36175) = 1
HCF of 8453, 9608, 36175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8453, 9608, 36175 is 1.
Highest Common Factor of 8453,9608,36175 is 1
Step 1: Since 9608 > 8453, we apply the division lemma to 9608 and 8453, to get
9608 = 8453 x 1 + 1155
Step 2: Since the reminder 8453 ≠ 0, we apply division lemma to 1155 and 8453, to get
8453 = 1155 x 7 + 368
Step 3: We consider the new divisor 1155 and the new remainder 368, and apply the division lemma to get
1155 = 368 x 3 + 51
We consider the new divisor 368 and the new remainder 51,and apply the division lemma to get
368 = 51 x 7 + 11
We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get
51 = 11 x 4 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 8453 and 9608 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(368,51) = HCF(1155,368) = HCF(8453,1155) = HCF(9608,8453) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36175 > 1, we apply the division lemma to 36175 and 1, to get
36175 = 1 x 36175 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36175 is 1
Notice that 1 = HCF(36175,1) .
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Frequently Asked Questions on HCF of 8453, 9608, 36175 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 8453, 9608, 36175?
Answer: HCF of 8453, 9608, 36175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8453, 9608, 36175 using Euclid's Algorithm?
Answer: For arbitrary numbers 8453, 9608, 36175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.