Highest Common Factor of 472, 823, 455, 58 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 472, 823, 455, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 472, 823, 455, 58 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 472, 823, 455, 58 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 472, 823, 455, 58 is 1.
HCF(472, 823, 455, 58) = 1
HCF of 472, 823, 455, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 472, 823, 455, 58 is 1.
Highest Common Factor of 472,823,455,58 is 1
Step 1: Since 823 > 472, we apply the division lemma to 823 and 472, to get
823 = 472 x 1 + 351
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 351 and 472, to get
472 = 351 x 1 + 121
Step 3: We consider the new divisor 351 and the new remainder 121, and apply the division lemma to get
351 = 121 x 2 + 109
We consider the new divisor 121 and the new remainder 109,and apply the division lemma to get
121 = 109 x 1 + 12
We consider the new divisor 109 and the new remainder 12,and apply the division lemma to get
109 = 12 x 9 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 472 and 823 is 1
Notice that 1 = HCF(12,1) = HCF(109,12) = HCF(121,109) = HCF(351,121) = HCF(472,351) = HCF(823,472) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 455 > 1, we apply the division lemma to 455 and 1, to get
455 = 1 x 455 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 455 is 1
Notice that 1 = HCF(455,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
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Frequently Asked Questions on HCF of 472, 823, 455, 58 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 472, 823, 455, 58?
Answer: HCF of 472, 823, 455, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 472, 823, 455, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 472, 823, 455, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.