Highest Common Factor of 457, 792 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, 792 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 792 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, 792 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, 792 is 1.
HCF(457, 792) = 1
HCF of 457, 792 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, 792 is 1.
Highest Common Factor of 457,792 is 1
Step 1: Since 792 > 457, we apply the division lemma to 792 and 457, to get
792 = 457 x 1 + 335
Step 2: Since the reminder 457 ≠ 0, we apply division lemma to 335 and 457, to get
457 = 335 x 1 + 122
Step 3: We consider the new divisor 335 and the new remainder 122, and apply the division lemma to get
335 = 122 x 2 + 91
We consider the new divisor 122 and the new remainder 91,and apply the division lemma to get
122 = 91 x 1 + 31
We consider the new divisor 91 and the new remainder 31,and apply the division lemma to get
91 = 31 x 2 + 29
We consider the new divisor 31 and the new remainder 29,and apply the division lemma to get
31 = 29 x 1 + 2
We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get
29 = 2 x 14 + 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 457 and 792 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(31,29) = HCF(91,31) = HCF(122,91) = HCF(335,122) = HCF(457,335) = HCF(792,457) .
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Frequently Asked Questions on HCF of 457, 792 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, 792?
Answer: HCF of 457, 792 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 792 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 792 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.