Highest Common Factor of 9289, 9171, 68912 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 9289, 9171, 68912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9289, 9171, 68912 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 9289, 9171, 68912 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 9289, 9171, 68912 is 1.
HCF(9289, 9171, 68912) = 1
HCF of 9289, 9171, 68912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9289, 9171, 68912 is 1.
Highest Common Factor of 9289,9171,68912 is 1
Step 1: Since 9289 > 9171, we apply the division lemma to 9289 and 9171, to get
9289 = 9171 x 1 + 118
Step 2: Since the reminder 9171 ≠ 0, we apply division lemma to 118 and 9171, to get
9171 = 118 x 77 + 85
Step 3: We consider the new divisor 118 and the new remainder 85, and apply the division lemma to get
118 = 85 x 1 + 33
We consider the new divisor 85 and the new remainder 33,and apply the division lemma to get
85 = 33 x 2 + 19
We consider the new divisor 33 and the new remainder 19,and apply the division lemma to get
33 = 19 x 1 + 14
We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9289 and 9171 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(85,33) = HCF(118,85) = HCF(9171,118) = HCF(9289,9171) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68912 > 1, we apply the division lemma to 68912 and 1, to get
68912 = 1 x 68912 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68912 is 1
Notice that 1 = HCF(68912,1) .
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Frequently Asked Questions on HCF of 9289, 9171, 68912 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 9289, 9171, 68912?
Answer: HCF of 9289, 9171, 68912 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9289, 9171, 68912 using Euclid's Algorithm?
Answer: For arbitrary numbers 9289, 9171, 68912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
