Highest Common Factor of 812, 444, 459 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 812, 444, 459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 444, 459 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 812, 444, 459 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 812, 444, 459 is 1.
HCF(812, 444, 459) = 1
HCF of 812, 444, 459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 444, 459 is 1.
Highest Common Factor of 812,444,459 is 1
Step 1: Since 812 > 444, we apply the division lemma to 812 and 444, to get
812 = 444 x 1 + 368
Step 2: Since the reminder 444 ≠ 0, we apply division lemma to 368 and 444, to get
444 = 368 x 1 + 76
Step 3: We consider the new divisor 368 and the new remainder 76, and apply the division lemma to get
368 = 76 x 4 + 64
We consider the new divisor 76 and the new remainder 64,and apply the division lemma to get
76 = 64 x 1 + 12
We consider the new divisor 64 and the new remainder 12,and apply the division lemma to get
64 = 12 x 5 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 812 and 444 is 4
Notice that 4 = HCF(12,4) = HCF(64,12) = HCF(76,64) = HCF(368,76) = HCF(444,368) = HCF(812,444) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 459 > 4, we apply the division lemma to 459 and 4, to get
459 = 4 x 114 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 459 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(459,4) .
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Frequently Asked Questions on HCF of 812, 444, 459 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 812, 444, 459?
Answer: HCF of 812, 444, 459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 444, 459 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 444, 459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
