Highest Common Factor of 173, 82313 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 173, 82313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 173, 82313 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 173, 82313 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 173, 82313 is 1.
HCF(173, 82313) = 1
HCF of 173, 82313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 173, 82313 is 1.
Highest Common Factor of 173,82313 is 1
Step 1: Since 82313 > 173, we apply the division lemma to 82313 and 173, to get
82313 = 173 x 475 + 138
Step 2: Since the reminder 173 ≠ 0, we apply division lemma to 138 and 173, to get
173 = 138 x 1 + 35
Step 3: We consider the new divisor 138 and the new remainder 35, and apply the division lemma to get
138 = 35 x 3 + 33
We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get
35 = 33 x 1 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 173 and 82313 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(138,35) = HCF(173,138) = HCF(82313,173) .
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Frequently Asked Questions on HCF of 173, 82313 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 173, 82313?
Answer: HCF of 173, 82313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 173, 82313 using Euclid's Algorithm?
Answer: For arbitrary numbers 173, 82313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.