Highest Common Factor of 9992, 1886 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 9992, 1886 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9992, 1886 is 2 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 9992, 1886 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 9992, 1886 is 2.
HCF(9992, 1886) = 2
HCF of 9992, 1886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9992, 1886 is 2.
Highest Common Factor of 9992,1886 is 2
Step 1: Since 9992 > 1886, we apply the division lemma to 9992 and 1886, to get
9992 = 1886 x 5 + 562
Step 2: Since the reminder 1886 ≠ 0, we apply division lemma to 562 and 1886, to get
1886 = 562 x 3 + 200
Step 3: We consider the new divisor 562 and the new remainder 200, and apply the division lemma to get
562 = 200 x 2 + 162
We consider the new divisor 200 and the new remainder 162,and apply the division lemma to get
200 = 162 x 1 + 38
We consider the new divisor 162 and the new remainder 38,and apply the division lemma to get
162 = 38 x 4 + 10
We consider the new divisor 38 and the new remainder 10,and apply the division lemma to get
38 = 10 x 3 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9992 and 1886 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(38,10) = HCF(162,38) = HCF(200,162) = HCF(562,200) = HCF(1886,562) = HCF(9992,1886) .
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Frequently Asked Questions on HCF of 9992, 1886 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 9992, 1886?
Answer: HCF of 9992, 1886 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9992, 1886 using Euclid's Algorithm?
Answer: For arbitrary numbers 9992, 1886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
