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 743, 5689 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 743, 5689 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 743, 5689 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 743, 5689 is 1.
HCF(743, 5689) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 743, 5689 is 1.
Step 1: Since 5689 > 743, we apply the division lemma to 5689 and 743, to get
5689 = 743 x 7 + 488
Step 2: Since the reminder 743 ≠ 0, we apply division lemma to 488 and 743, to get
743 = 488 x 1 + 255
Step 3: We consider the new divisor 488 and the new remainder 255, and apply the division lemma to get
488 = 255 x 1 + 233
We consider the new divisor 255 and the new remainder 233,and apply the division lemma to get
255 = 233 x 1 + 22
We consider the new divisor 233 and the new remainder 22,and apply the division lemma to get
233 = 22 x 10 + 13
We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get
22 = 13 x 1 + 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 743 and 5689 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(233,22) = HCF(255,233) = HCF(488,255) = HCF(743,488) = HCF(5689,743) .
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 743, 5689?
Answer: HCF of 743, 5689 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 743, 5689 using Euclid's Algorithm?
Answer: For arbitrary numbers 743, 5689 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.