Highest Common Factor of 183, 689 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, 689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 183, 689 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, 689 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, 689 is 1.
HCF(183, 689) = 1
HCF of 183, 689 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, 689 is 1.
Highest Common Factor of 183,689 is 1
Step 1: Since 689 > 183, we apply the division lemma to 689 and 183, to get
689 = 183 x 3 + 140
Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 140 and 183, to get
183 = 140 x 1 + 43
Step 3: We consider the new divisor 140 and the new remainder 43, and apply the division lemma to get
140 = 43 x 3 + 11
We consider the new divisor 43 and the new remainder 11,and apply the division lemma to get
43 = 11 x 3 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 183 and 689 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(43,11) = HCF(140,43) = HCF(183,140) = HCF(689,183) .
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Frequently Asked Questions on HCF of 183, 689 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, 689?
Answer: HCF of 183, 689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 183, 689 using Euclid's Algorithm?
Answer: For arbitrary numbers 183, 689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.