Highest Common Factor of 238, 173 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 238, 173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 238, 173 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 238, 173 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 238, 173 is 1.
HCF(238, 173) = 1
HCF of 238, 173 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 238, 173 is 1.
Highest Common Factor of 238,173 is 1
Step 1: Since 238 > 173, we apply the division lemma to 238 and 173, to get
238 = 173 x 1 + 65
Step 2: Since the reminder 173 ≠ 0, we apply division lemma to 65 and 173, to get
173 = 65 x 2 + 43
Step 3: We consider the new divisor 65 and the new remainder 43, and apply the division lemma to get
65 = 43 x 1 + 22
We consider the new divisor 43 and the new remainder 22,and apply the division lemma to get
43 = 22 x 1 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 238 and 173 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(43,22) = HCF(65,43) = HCF(173,65) = HCF(238,173) .
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Frequently Asked Questions on HCF of 238, 173 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 238, 173?
Answer: HCF of 238, 173 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 238, 173 using Euclid's Algorithm?
Answer: For arbitrary numbers 238, 173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.