Highest Common Factor of 789, 406, 593, 516 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 789, 406, 593, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 789, 406, 593, 516 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 789, 406, 593, 516 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 789, 406, 593, 516 is 1.
HCF(789, 406, 593, 516) = 1
HCF of 789, 406, 593, 516 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 789, 406, 593, 516 is 1.
Highest Common Factor of 789,406,593,516 is 1
Step 1: Since 789 > 406, we apply the division lemma to 789 and 406, to get
789 = 406 x 1 + 383
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 383 and 406, to get
406 = 383 x 1 + 23
Step 3: We consider the new divisor 383 and the new remainder 23, and apply the division lemma to get
383 = 23 x 16 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 789 and 406 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(383,23) = HCF(406,383) = HCF(789,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 593 > 1, we apply the division lemma to 593 and 1, to get
593 = 1 x 593 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 593 is 1
Notice that 1 = HCF(593,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get
516 = 1 x 516 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1
Notice that 1 = HCF(516,1) .
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Frequently Asked Questions on HCF of 789, 406, 593, 516 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 789, 406, 593, 516?
Answer: HCF of 789, 406, 593, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 789, 406, 593, 516 using Euclid's Algorithm?
Answer: For arbitrary numbers 789, 406, 593, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.