Highest Common Factor of 153, 571, 723 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 153, 571, 723 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 153, 571, 723 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 153, 571, 723 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 153, 571, 723 is 1.
HCF(153, 571, 723) = 1
HCF of 153, 571, 723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 153, 571, 723 is 1.
Highest Common Factor of 153,571,723 is 1
Step 1: Since 571 > 153, we apply the division lemma to 571 and 153, to get
571 = 153 x 3 + 112
Step 2: Since the reminder 153 ≠ 0, we apply division lemma to 112 and 153, to get
153 = 112 x 1 + 41
Step 3: We consider the new divisor 112 and the new remainder 41, and apply the division lemma to get
112 = 41 x 2 + 30
We consider the new divisor 41 and the new remainder 30,and apply the division lemma to get
41 = 30 x 1 + 11
We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get
30 = 11 x 2 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 153 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(41,30) = HCF(112,41) = HCF(153,112) = HCF(571,153) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 723 > 1, we apply the division lemma to 723 and 1, to get
723 = 1 x 723 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 723 is 1
Notice that 1 = HCF(723,1) .
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Frequently Asked Questions on HCF of 153, 571, 723 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 153, 571, 723?
Answer: HCF of 153, 571, 723 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 153, 571, 723 using Euclid's Algorithm?
Answer: For arbitrary numbers 153, 571, 723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
