Highest Common Factor of 723, 999, 527, 411 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 723, 999, 527, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 723, 999, 527, 411 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 723, 999, 527, 411 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 723, 999, 527, 411 is 1.
HCF(723, 999, 527, 411) = 1
HCF of 723, 999, 527, 411 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 723, 999, 527, 411 is 1.
Highest Common Factor of 723,999,527,411 is 1
Step 1: Since 999 > 723, we apply the division lemma to 999 and 723, to get
999 = 723 x 1 + 276
Step 2: Since the reminder 723 ≠ 0, we apply division lemma to 276 and 723, to get
723 = 276 x 2 + 171
Step 3: We consider the new divisor 276 and the new remainder 171, and apply the division lemma to get
276 = 171 x 1 + 105
We consider the new divisor 171 and the new remainder 105,and apply the division lemma to get
171 = 105 x 1 + 66
We consider the new divisor 105 and the new remainder 66,and apply the division lemma to get
105 = 66 x 1 + 39
We consider the new divisor 66 and the new remainder 39,and apply the division lemma to get
66 = 39 x 1 + 27
We consider the new divisor 39 and the new remainder 27,and apply the division lemma to get
39 = 27 x 1 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 723 and 999 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(66,39) = HCF(105,66) = HCF(171,105) = HCF(276,171) = HCF(723,276) = HCF(999,723) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 527 > 3, we apply the division lemma to 527 and 3, to get
527 = 3 x 175 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 527 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(527,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 411 > 1, we apply the division lemma to 411 and 1, to get
411 = 1 x 411 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 411 is 1
Notice that 1 = HCF(411,1) .
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Frequently Asked Questions on HCF of 723, 999, 527, 411 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 723, 999, 527, 411?
Answer: HCF of 723, 999, 527, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 723, 999, 527, 411 using Euclid's Algorithm?
Answer: For arbitrary numbers 723, 999, 527, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.