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 5382, 2096 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5382, 2096 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 5382, 2096 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 5382, 2096 is 2.
HCF(5382, 2096) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5382, 2096 is 2.
Step 1: Since 5382 > 2096, we apply the division lemma to 5382 and 2096, to get
5382 = 2096 x 2 + 1190
Step 2: Since the reminder 2096 ≠ 0, we apply division lemma to 1190 and 2096, to get
2096 = 1190 x 1 + 906
Step 3: We consider the new divisor 1190 and the new remainder 906, and apply the division lemma to get
1190 = 906 x 1 + 284
We consider the new divisor 906 and the new remainder 284,and apply the division lemma to get
906 = 284 x 3 + 54
We consider the new divisor 284 and the new remainder 54,and apply the division lemma to get
284 = 54 x 5 + 14
We consider the new divisor 54 and the new remainder 14,and apply the division lemma to get
54 = 14 x 3 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5382 and 2096 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(54,14) = HCF(284,54) = HCF(906,284) = HCF(1190,906) = HCF(2096,1190) = HCF(5382,2096) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5382, 2096?
Answer: HCF of 5382, 2096 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5382, 2096 using Euclid's Algorithm?
Answer: For arbitrary numbers 5382, 2096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.