Highest Common Factor of 458, 2290, 7173 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 458, 2290, 7173 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 458, 2290, 7173 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 458, 2290, 7173 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 458, 2290, 7173 is 1.
HCF(458, 2290, 7173) = 1
HCF of 458, 2290, 7173 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 458, 2290, 7173 is 1.
Highest Common Factor of 458,2290,7173 is 1
Step 1: Since 2290 > 458, we apply the division lemma to 2290 and 458, to get
2290 = 458 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 458, the HCF of 458 and 2290 is 458
Notice that 458 = HCF(2290,458) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7173 > 458, we apply the division lemma to 7173 and 458, to get
7173 = 458 x 15 + 303
Step 2: Since the reminder 458 ≠ 0, we apply division lemma to 303 and 458, to get
458 = 303 x 1 + 155
Step 3: We consider the new divisor 303 and the new remainder 155, and apply the division lemma to get
303 = 155 x 1 + 148
We consider the new divisor 155 and the new remainder 148,and apply the division lemma to get
155 = 148 x 1 + 7
We consider the new divisor 148 and the new remainder 7,and apply the division lemma to get
148 = 7 x 21 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 458 and 7173 is 1
Notice that 1 = HCF(7,1) = HCF(148,7) = HCF(155,148) = HCF(303,155) = HCF(458,303) = HCF(7173,458) .
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Frequently Asked Questions on HCF of 458, 2290, 7173 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 458, 2290, 7173?
Answer: HCF of 458, 2290, 7173 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 458, 2290, 7173 using Euclid's Algorithm?
Answer: For arbitrary numbers 458, 2290, 7173 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.