Highest Common Factor of 190, 456, 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 190, 456, 173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 190, 456, 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 190, 456, 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 190, 456, 173 is 1.
HCF(190, 456, 173) = 1
HCF of 190, 456, 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 190, 456, 173 is 1.
Highest Common Factor of 190,456,173 is 1
Step 1: Since 456 > 190, we apply the division lemma to 456 and 190, to get
456 = 190 x 2 + 76
Step 2: Since the reminder 190 ≠ 0, we apply division lemma to 76 and 190, to get
190 = 76 x 2 + 38
Step 3: We consider the new divisor 76 and the new remainder 38, and apply the division lemma to get
76 = 38 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 38, the HCF of 190 and 456 is 38
Notice that 38 = HCF(76,38) = HCF(190,76) = HCF(456,190) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 173 > 38, we apply the division lemma to 173 and 38, to get
173 = 38 x 4 + 21
Step 2: Since the reminder 38 ≠ 0, we apply division lemma to 21 and 38, to get
38 = 21 x 1 + 17
Step 3: We consider the new divisor 21 and the new remainder 17, and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 38 and 173 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(38,21) = HCF(173,38) .
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Frequently Asked Questions on HCF of 190, 456, 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 190, 456, 173?
Answer: HCF of 190, 456, 173 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 190, 456, 173 using Euclid's Algorithm?
Answer: For arbitrary numbers 190, 456, 173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.