Highest Common Factor of 183, 659 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 183, 659 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 183, 659 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 183, 659 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 183, 659 is 1.
HCF(183, 659) = 1
HCF of 183, 659 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 183, 659 is 1.
Highest Common Factor of 183,659 is 1
Step 1: Since 659 > 183, we apply the division lemma to 659 and 183, to get
659 = 183 x 3 + 110
Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 110 and 183, to get
183 = 110 x 1 + 73
Step 3: We consider the new divisor 110 and the new remainder 73, and apply the division lemma to get
110 = 73 x 1 + 37
We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get
73 = 37 x 1 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 183 and 659 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(183,110) = HCF(659,183) .
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Frequently Asked Questions on HCF of 183, 659 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 183, 659?
Answer: HCF of 183, 659 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 183, 659 using Euclid's Algorithm?
Answer: For arbitrary numbers 183, 659 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.