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 8036, 5419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8036, 5419 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 8036, 5419 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 8036, 5419 is 1.
HCF(8036, 5419) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8036, 5419 is 1.
Step 1: Since 8036 > 5419, we apply the division lemma to 8036 and 5419, to get
8036 = 5419 x 1 + 2617
Step 2: Since the reminder 5419 ≠ 0, we apply division lemma to 2617 and 5419, to get
5419 = 2617 x 2 + 185
Step 3: We consider the new divisor 2617 and the new remainder 185, and apply the division lemma to get
2617 = 185 x 14 + 27
We consider the new divisor 185 and the new remainder 27,and apply the division lemma to get
185 = 27 x 6 + 23
We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get
27 = 23 x 1 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8036 and 5419 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(185,27) = HCF(2617,185) = HCF(5419,2617) = HCF(8036,5419) .
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 8036, 5419?
Answer: HCF of 8036, 5419 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8036, 5419 using Euclid's Algorithm?
Answer: For arbitrary numbers 8036, 5419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.