Highest Common Factor of 5923, 9973 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 5923, 9973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5923, 9973 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 5923, 9973 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 5923, 9973 is 1.
HCF(5923, 9973) = 1
HCF of 5923, 9973 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5923, 9973 is 1.
Highest Common Factor of 5923,9973 is 1
Step 1: Since 9973 > 5923, we apply the division lemma to 9973 and 5923, to get
9973 = 5923 x 1 + 4050
Step 2: Since the reminder 5923 ≠ 0, we apply division lemma to 4050 and 5923, to get
5923 = 4050 x 1 + 1873
Step 3: We consider the new divisor 4050 and the new remainder 1873, and apply the division lemma to get
4050 = 1873 x 2 + 304
We consider the new divisor 1873 and the new remainder 304,and apply the division lemma to get
1873 = 304 x 6 + 49
We consider the new divisor 304 and the new remainder 49,and apply the division lemma to get
304 = 49 x 6 + 10
We consider the new divisor 49 and the new remainder 10,and apply the division lemma to get
49 = 10 x 4 + 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 5923 and 9973 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(49,10) = HCF(304,49) = HCF(1873,304) = HCF(4050,1873) = HCF(5923,4050) = HCF(9973,5923) .
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Frequently Asked Questions on HCF of 5923, 9973 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 5923, 9973?
Answer: HCF of 5923, 9973 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5923, 9973 using Euclid's Algorithm?
Answer: For arbitrary numbers 5923, 9973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.