Highest Common Factor of 5791, 7924 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 5791, 7924 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5791, 7924 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 5791, 7924 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 5791, 7924 is 1.
HCF(5791, 7924) = 1
HCF of 5791, 7924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5791, 7924 is 1.
Highest Common Factor of 5791,7924 is 1
Step 1: Since 7924 > 5791, we apply the division lemma to 7924 and 5791, to get
7924 = 5791 x 1 + 2133
Step 2: Since the reminder 5791 ≠ 0, we apply division lemma to 2133 and 5791, to get
5791 = 2133 x 2 + 1525
Step 3: We consider the new divisor 2133 and the new remainder 1525, and apply the division lemma to get
2133 = 1525 x 1 + 608
We consider the new divisor 1525 and the new remainder 608,and apply the division lemma to get
1525 = 608 x 2 + 309
We consider the new divisor 608 and the new remainder 309,and apply the division lemma to get
608 = 309 x 1 + 299
We consider the new divisor 309 and the new remainder 299,and apply the division lemma to get
309 = 299 x 1 + 10
We consider the new divisor 299 and the new remainder 10,and apply the division lemma to get
299 = 10 x 29 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5791 and 7924 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(299,10) = HCF(309,299) = HCF(608,309) = HCF(1525,608) = HCF(2133,1525) = HCF(5791,2133) = HCF(7924,5791) .
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Frequently Asked Questions on HCF of 5791, 7924 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 5791, 7924?
Answer: HCF of 5791, 7924 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5791, 7924 using Euclid's Algorithm?
Answer: For arbitrary numbers 5791, 7924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.