Highest Common Factor of 457, 622 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 457, 622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 622 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 457, 622 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 457, 622 is 1.
HCF(457, 622) = 1
HCF of 457, 622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 457, 622 is 1.
Highest Common Factor of 457,622 is 1
Step 1: Since 622 > 457, we apply the division lemma to 622 and 457, to get
622 = 457 x 1 + 165
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 165 and 457, to get
457 = 165 x 2 + 127
Step 3: We consider the new divisor 165 and the new remainder 127, and apply the division lemma to get
165 = 127 x 1 + 38
We consider the new divisor 127 and the new remainder 38,and apply the division lemma to get
127 = 38 x 3 + 13
We consider the new divisor 38 and the new remainder 13,and apply the division lemma to get
38 = 13 x 2 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 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 457 and 622 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(38,13) = HCF(127,38) = HCF(165,127) = HCF(457,165) = HCF(622,457) .
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Frequently Asked Questions on HCF of 457, 622 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 457, 622?
Answer: HCF of 457, 622 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 622 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.