Highest Common Factor of 668, 9085 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 668, 9085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 668, 9085 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 668, 9085 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 668, 9085 is 1.
HCF(668, 9085) = 1
HCF of 668, 9085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 668, 9085 is 1.
Highest Common Factor of 668,9085 is 1
Step 1: Since 9085 > 668, we apply the division lemma to 9085 and 668, to get
9085 = 668 x 13 + 401
Step 2: Since the reminder 668 ≠ 0, we apply division lemma to 401 and 668, to get
668 = 401 x 1 + 267
Step 3: We consider the new divisor 401 and the new remainder 267, and apply the division lemma to get
401 = 267 x 1 + 134
We consider the new divisor 267 and the new remainder 134,and apply the division lemma to get
267 = 134 x 1 + 133
We consider the new divisor 134 and the new remainder 133,and apply the division lemma to get
134 = 133 x 1 + 1
We consider the new divisor 133 and the new remainder 1,and apply the division lemma to get
133 = 1 x 133 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 668 and 9085 is 1
Notice that 1 = HCF(133,1) = HCF(134,133) = HCF(267,134) = HCF(401,267) = HCF(668,401) = HCF(9085,668) .
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Frequently Asked Questions on HCF of 668, 9085 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 668, 9085?
Answer: HCF of 668, 9085 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 668, 9085 using Euclid's Algorithm?
Answer: For arbitrary numbers 668, 9085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.