Highest Common Factor of 9147, 8455 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 9147, 8455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9147, 8455 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 9147, 8455 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 9147, 8455 is 1.
HCF(9147, 8455) = 1
HCF of 9147, 8455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9147, 8455 is 1.
Highest Common Factor of 9147,8455 is 1
Step 1: Since 9147 > 8455, we apply the division lemma to 9147 and 8455, to get
9147 = 8455 x 1 + 692
Step 2: Since the reminder 8455 ≠ 0, we apply division lemma to 692 and 8455, to get
8455 = 692 x 12 + 151
Step 3: We consider the new divisor 692 and the new remainder 151, and apply the division lemma to get
692 = 151 x 4 + 88
We consider the new divisor 151 and the new remainder 88,and apply the division lemma to get
151 = 88 x 1 + 63
We consider the new divisor 88 and the new remainder 63,and apply the division lemma to get
88 = 63 x 1 + 25
We consider the new divisor 63 and the new remainder 25,and apply the division lemma to get
63 = 25 x 2 + 13
We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get
25 = 13 x 1 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9147 and 8455 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(63,25) = HCF(88,63) = HCF(151,88) = HCF(692,151) = HCF(8455,692) = HCF(9147,8455) .
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Frequently Asked Questions on HCF of 9147, 8455 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 9147, 8455?
Answer: HCF of 9147, 8455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9147, 8455 using Euclid's Algorithm?
Answer: For arbitrary numbers 9147, 8455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.