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 5289, 3436 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5289, 3436 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 5289, 3436 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 5289, 3436 is 1.
HCF(5289, 3436) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5289, 3436 is 1.
Step 1: Since 5289 > 3436, we apply the division lemma to 5289 and 3436, to get
5289 = 3436 x 1 + 1853
Step 2: Since the reminder 3436 ≠ 0, we apply division lemma to 1853 and 3436, to get
3436 = 1853 x 1 + 1583
Step 3: We consider the new divisor 1853 and the new remainder 1583, and apply the division lemma to get
1853 = 1583 x 1 + 270
We consider the new divisor 1583 and the new remainder 270,and apply the division lemma to get
1583 = 270 x 5 + 233
We consider the new divisor 270 and the new remainder 233,and apply the division lemma to get
270 = 233 x 1 + 37
We consider the new divisor 233 and the new remainder 37,and apply the division lemma to get
233 = 37 x 6 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 5289 and 3436 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(233,37) = HCF(270,233) = HCF(1583,270) = HCF(1853,1583) = HCF(3436,1853) = HCF(5289,3436) .
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 5289, 3436?
Answer: HCF of 5289, 3436 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5289, 3436 using Euclid's Algorithm?
Answer: For arbitrary numbers 5289, 3436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.