Highest Common Factor of 503, 2144, 8592 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 503, 2144, 8592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 503, 2144, 8592 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 503, 2144, 8592 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 503, 2144, 8592 is 1.
HCF(503, 2144, 8592) = 1
HCF of 503, 2144, 8592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 503, 2144, 8592 is 1.
Highest Common Factor of 503,2144,8592 is 1
Step 1: Since 2144 > 503, we apply the division lemma to 2144 and 503, to get
2144 = 503 x 4 + 132
Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 132 and 503, to get
503 = 132 x 3 + 107
Step 3: We consider the new divisor 132 and the new remainder 107, and apply the division lemma to get
132 = 107 x 1 + 25
We consider the new divisor 107 and the new remainder 25,and apply the division lemma to get
107 = 25 x 4 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
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 503 and 2144 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(107,25) = HCF(132,107) = HCF(503,132) = HCF(2144,503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8592 > 1, we apply the division lemma to 8592 and 1, to get
8592 = 1 x 8592 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8592 is 1
Notice that 1 = HCF(8592,1) .
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Frequently Asked Questions on HCF of 503, 2144, 8592 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 503, 2144, 8592?
Answer: HCF of 503, 2144, 8592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 503, 2144, 8592 using Euclid's Algorithm?
Answer: For arbitrary numbers 503, 2144, 8592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.