Highest Common Factor of 173, 138, 466, 185 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, 138, 466, 185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 173, 138, 466, 185 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, 138, 466, 185 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, 138, 466, 185 is 1.
HCF(173, 138, 466, 185) = 1
HCF of 173, 138, 466, 185 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, 138, 466, 185 is 1.
Highest Common Factor of 173,138,466,185 is 1
Step 1: Since 173 > 138, we apply the division lemma to 173 and 138, to get
173 = 138 x 1 + 35
Step 2: Since the reminder 138 ≠ 0, we apply division lemma to 35 and 138, to get
138 = 35 x 3 + 33
Step 3: 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 138 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(138,35) = HCF(173,138) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 466 > 1, we apply the division lemma to 466 and 1, to get
466 = 1 x 466 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 466 is 1
Notice that 1 = HCF(466,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 185 > 1, we apply the division lemma to 185 and 1, to get
185 = 1 x 185 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 185 is 1
Notice that 1 = HCF(185,1) .
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Frequently Asked Questions on HCF of 173, 138, 466, 185 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, 138, 466, 185?
Answer: HCF of 173, 138, 466, 185 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 173, 138, 466, 185 using Euclid's Algorithm?
Answer: For arbitrary numbers 173, 138, 466, 185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
