Highest Common Factor of 9096, 485 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 9096, 485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9096, 485 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 9096, 485 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 9096, 485 is 1.
HCF(9096, 485) = 1
HCF of 9096, 485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9096, 485 is 1.
Highest Common Factor of 9096,485 is 1
Step 1: Since 9096 > 485, we apply the division lemma to 9096 and 485, to get
9096 = 485 x 18 + 366
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 366 and 485, to get
485 = 366 x 1 + 119
Step 3: We consider the new divisor 366 and the new remainder 119, and apply the division lemma to get
366 = 119 x 3 + 9
We consider the new divisor 119 and the new remainder 9,and apply the division lemma to get
119 = 9 x 13 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 9096 and 485 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(119,9) = HCF(366,119) = HCF(485,366) = HCF(9096,485) .
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Frequently Asked Questions on HCF of 9096, 485 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 9096, 485?
Answer: HCF of 9096, 485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9096, 485 using Euclid's Algorithm?
Answer: For arbitrary numbers 9096, 485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.