Highest Common Factor of 173, 3345 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, 3345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 173, 3345 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, 3345 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, 3345 is 1.
HCF(173, 3345) = 1
HCF of 173, 3345 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, 3345 is 1.
Highest Common Factor of 173,3345 is 1
Step 1: Since 3345 > 173, we apply the division lemma to 3345 and 173, to get
3345 = 173 x 19 + 58
Step 2: Since the reminder 173 ≠ 0, we apply division lemma to 58 and 173, to get
173 = 58 x 2 + 57
Step 3: We consider the new divisor 58 and the new remainder 57, and apply the division lemma to get
58 = 57 x 1 + 1
We consider the new divisor 57 and the new remainder 1, and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 173 and 3345 is 1
Notice that 1 = HCF(57,1) = HCF(58,57) = HCF(173,58) = HCF(3345,173) .
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Frequently Asked Questions on HCF of 173, 3345 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, 3345?
Answer: HCF of 173, 3345 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 173, 3345 using Euclid's Algorithm?
Answer: For arbitrary numbers 173, 3345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.