Highest Common Factor of 594, 723, 808 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 594, 723, 808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 723, 808 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 594, 723, 808 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 594, 723, 808 is 1.
HCF(594, 723, 808) = 1
HCF of 594, 723, 808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 723, 808 is 1.
Highest Common Factor of 594,723,808 is 1
Step 1: Since 723 > 594, we apply the division lemma to 723 and 594, to get
723 = 594 x 1 + 129
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 129 and 594, to get
594 = 129 x 4 + 78
Step 3: We consider the new divisor 129 and the new remainder 78, and apply the division lemma to get
129 = 78 x 1 + 51
We consider the new divisor 78 and the new remainder 51,and apply the division lemma to get
78 = 51 x 1 + 27
We consider the new divisor 51 and the new remainder 27,and apply the division lemma to get
51 = 27 x 1 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 594 and 723 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(51,27) = HCF(78,51) = HCF(129,78) = HCF(594,129) = HCF(723,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 808 > 3, we apply the division lemma to 808 and 3, to get
808 = 3 x 269 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 808 is 1
Notice that 1 = HCF(3,1) = HCF(808,3) .
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Frequently Asked Questions on HCF of 594, 723, 808 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 594, 723, 808?
Answer: HCF of 594, 723, 808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 723, 808 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 723, 808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
