Highest Common Factor of 496, 729, 873, 451 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 496, 729, 873, 451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 496, 729, 873, 451 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 496, 729, 873, 451 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 496, 729, 873, 451 is 1.
HCF(496, 729, 873, 451) = 1
HCF of 496, 729, 873, 451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 496, 729, 873, 451 is 1.
Highest Common Factor of 496,729,873,451 is 1
Step 1: Since 729 > 496, we apply the division lemma to 729 and 496, to get
729 = 496 x 1 + 233
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 233 and 496, to get
496 = 233 x 2 + 30
Step 3: We consider the new divisor 233 and the new remainder 30, and apply the division lemma to get
233 = 30 x 7 + 23
We consider the new divisor 30 and the new remainder 23,and apply the division lemma to get
30 = 23 x 1 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 496 and 729 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(30,23) = HCF(233,30) = HCF(496,233) = HCF(729,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 873 > 1, we apply the division lemma to 873 and 1, to get
873 = 1 x 873 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 873 is 1
Notice that 1 = HCF(873,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 451 > 1, we apply the division lemma to 451 and 1, to get
451 = 1 x 451 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 451 is 1
Notice that 1 = HCF(451,1) .
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Frequently Asked Questions on HCF of 496, 729, 873, 451 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 496, 729, 873, 451?
Answer: HCF of 496, 729, 873, 451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 496, 729, 873, 451 using Euclid's Algorithm?
Answer: For arbitrary numbers 496, 729, 873, 451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.