Highest Common Factor of 999, 31399 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 999, 31399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 31399 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 999, 31399 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 999, 31399 is 1.
HCF(999, 31399) = 1
HCF of 999, 31399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 31399 is 1.
Highest Common Factor of 999,31399 is 1
Step 1: Since 31399 > 999, we apply the division lemma to 31399 and 999, to get
31399 = 999 x 31 + 430
Step 2: Since the reminder 999 ≠ 0, we apply division lemma to 430 and 999, to get
999 = 430 x 2 + 139
Step 3: We consider the new divisor 430 and the new remainder 139, and apply the division lemma to get
430 = 139 x 3 + 13
We consider the new divisor 139 and the new remainder 13,and apply the division lemma to get
139 = 13 x 10 + 9
We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get
13 = 9 x 1 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 999 and 31399 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(139,13) = HCF(430,139) = HCF(999,430) = HCF(31399,999) .
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Frequently Asked Questions on HCF of 999, 31399 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 999, 31399?
Answer: HCF of 999, 31399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 31399 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 31399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.